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Articles 1 - 30 of 702
Full-Text Articles in Applied Mathematics
(R2165) Two Different Stages With Two Distinct Harvesting Processes, S. Vijaya, Krishika M
(R2165) Two Different Stages With Two Distinct Harvesting Processes, S. Vijaya, Krishika M
Applications and Applied Mathematics: An International Journal (AAM)
This study extends the classical Lotka-Volterra prey-predator model by incorporating a stage structured prey population consisting of juvenile and adult stages, while considering a single predator species governed by a Holling type II functional response. The growth of the juvenile prey depends on the adult prey population and since the juvenile prey has no reproduction capability. Two distinct harvesting strategies are introduced in the model. Constant-yield harvesting is applied to the juvenile stage of the prey population and represents a fixed amount of harvest regardless of population size. Constant effort harvesting is applied to the adult stage of the prey …
(Si17-07) Application Of Triple Laplace Transform To Solve Poisson Equation, Ranjana Gothankar, Bhawna Agrawal
(Si17-07) Application Of Triple Laplace Transform To Solve Poisson Equation, Ranjana Gothankar, Bhawna Agrawal
Applications and Applied Mathematics: An International Journal (AAM)
The well-known Laplace equation, having an elliptical character, is popularly known as the Poisson partial differential equation. It occupies a central place in mathematical physics and engineering due to its ability to describe steady-state diffusion, electrostatics, gravitational potential, and heat conduction problems. The Poisson partial differential equation in three variables is solved by employing the triple Laplace transform in Laplace domain. In original domain, the solutions are obtained numerically using the Brancik technique. The numerous illustrative examples are presented to demonstrate the behavior and sensitivity of the solutions. This dual approach analytical simplification via the triple Laplace transform and accurate …
(Si17-06) Green-Naghdi Theory Of Two-Temperature Fractional Thermoelasticity Under Thermal Shock And Ramp-Type Heating, Sagar Sankeshwari, Vinayak Kulkarni
(Si17-06) Green-Naghdi Theory Of Two-Temperature Fractional Thermoelasticity Under Thermal Shock And Ramp-Type Heating, Sagar Sankeshwari, Vinayak Kulkarni
Applications and Applied Mathematics: An International Journal (AAM)
The linear thermoelasticity theory without energy dissipation developed by Green-Naghdi has been reconstructed by using two temperature theory in the context of a time fractional derivative. In half-space, the mathematical model is discussed for one-dimensional wave propagation subject to two different problems, viz., thermal shock and ramp-type heating at the bounding surface. Assume the bounding surface is traction-free. The analytical solutions are obtained in the Laplace domain. The Gaver-Stehfest technique is numerically used to perform time domain inversion of the Laplace transform, satisfying Kuznetsov’s convergence condition. The impact of fractional order parameters on the variations of various fields inside the …
(Si17-13) A Study Of Generalized (𝜶,𝜷)-Nonexpansive Type 1 Mapping In 𝒃-Metric Space, M. J. Ali, G. Aggarwal
(Si17-13) A Study Of Generalized (𝜶,𝜷)-Nonexpansive Type 1 Mapping In 𝒃-Metric Space, M. J. Ali, G. Aggarwal
Applications and Applied Mathematics: An International Journal (AAM)
In this research article, we generalized KF-iteration process in 𝑏-metric space for the generalised (𝛼,𝛽)−nonexpansive type 1 mappings. We present some convergence theorems for KF-iteration process with respect to generalised mappings in 𝑏-metric space. We discussed some numerical examples of generalised (𝛼,𝛽)-nonexpansive type 1 mappings and we proved that KF-iteration process is stronger than the other iterations. The results obtained in this research generalize and improve several related results of fixed-point convergence in the literature.
(Si17-02) Integrated Mathematical Modeling And Optimization Approaches In Contemporary Engineering And Economic Applications, D. Christo Stalin, Ilakkia S., A. Parameshwari, Sahaya Brainy J., Aman Jolly, Vikas Pandey
(Si17-02) Integrated Mathematical Modeling And Optimization Approaches In Contemporary Engineering And Economic Applications, D. Christo Stalin, Ilakkia S., A. Parameshwari, Sahaya Brainy J., Aman Jolly, Vikas Pandey
Applications and Applied Mathematics: An International Journal (AAM)
This paper offers a calibrated synthesis of integrated modeling and optimization methods central to modern engineering and economic problems.We scrutinize the convergence of numerical methods, operations research, fuzzy-logical systems, and mathematical economics, demonstrating how these components conjointly illuminate complicated, real-world phenomena. Through an exhaustive review of prevailing frameworks, the investigation emphasizes the strategic role of stochastic modeling, queuing architecture, and optimization curricula within the twin arenas of system engineering design and economic construction. Empirical confrontation reveals that the synergistic coupling of distinct mathematical branches exponentially enhances our ability to resolve tightly-knit, largescale systems. Application re-routing is systematically demonstrated first on …
(Si17-16) Approximate Solution Of Fredholm Integral Equations Using Szász-Mirakyan Polynomials, Ruchi S. Rajawat, Shikha Pandey
(Si17-16) Approximate Solution Of Fredholm Integral Equations Using Szász-Mirakyan Polynomials, Ruchi S. Rajawat, Shikha Pandey
Applications and Applied Mathematics: An International Journal (AAM)
This manuscript examines a family of Szász-Mirakyan operators that approximate functions on the unbounded interval [0,∞). Furthermore, we examine the discretization method for Fredholm integral equations of the first and second kind based on Szász-Mirakyan operators.We offer numerical techniques and estimate the error bound of the solution in this direction. Finally, we demonstrate numerical analysis showing the effectiveness of the newly developed algorithm constructions in the domain of one-dimensional approximation.
(R2077) Enhancing Queue Management: Dynamic Server Allocation And Optional Services In Stochastic Modeling, G. Ayyappan, S. Sankeetha
(R2077) Enhancing Queue Management: Dynamic Server Allocation And Optional Services In Stochastic Modeling, G. Ayyappan, S. Sankeetha
Applications and Applied Mathematics: An International Journal (AAM)
Consider a queueing system with a single server, where customer arrivals follow a Markovian arrival process and service times follow a phase-type distribution. The main server has the capability to recruit an additional server when the number of customers in the system exceeds a certain threshold, denoted as L. Both servers provide normal service to customers, and optional service is provided upon request. The main server takes multiple vacations, with the durations following an exponential distribution with rate parameter η, until there is at least one customer in the system. This system can be represented as a Markov chain process, …
(R2072) A Method To Sample From Transition Densities Of Diffusion Processes With Unknown Densities, Yasin Kikabi, Juma Kasozi
(R2072) A Method To Sample From Transition Densities Of Diffusion Processes With Unknown Densities, Yasin Kikabi, Juma Kasozi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we present a reliable method that can be used to sample paths of a diffusion process described by a system of stochastic differential equations. These are types of processes whose transition density is not known in closed form. This reliable method involves solving a partial differential equation of the Fokker-Planck type by rejection sampling techniques applied to the associated densities. We then use the novel method to sample from the Ornstein-Uhlenbeck (OU) process whose transition density is known and has unbounded drift. The results obtained compare excellently with the analytical results, thus rendering the method reliable and …
(R2161) Robust Optimization Of Industrial Hazardous Waste Location-Routing Problem Considering Response Actions To Environmental Risk, Sharareh Teimoori, Farhad Hosseinzadeh Lotfi, Seyyed Esmaeil Najafi, Navid Rafiei
(R2161) Robust Optimization Of Industrial Hazardous Waste Location-Routing Problem Considering Response Actions To Environmental Risk, Sharareh Teimoori, Farhad Hosseinzadeh Lotfi, Seyyed Esmaeil Najafi, Navid Rafiei
Applications and Applied Mathematics: An International Journal (AAM)
The management of hazardous industrial waste has emerged as a significant global challenge due to rapid technological advancements. Industrial hazardous waste management systems must be designed not only to be cost-effective but also to minimize environmental risks. This study proposes a mixed-integer programming model for the location-routing of industrial hazardous waste that incorporates both primary and secondary environmental risks, along with suitable response actions. Furthermore, a scenario-based robust optimization model is developed to address uncertainties in the quantities of industrial hazardous waste. A case study is conducted to demonstrate the applicability and comparative performance of the nominal and robust models. …
(R2149) Heat, Hall, And Ion Slip Effects On Chemically Reacting Mhd Casson Flow Through Moving Surface, Gaurav Kumar, Vinod Kumar
(R2149) Heat, Hall, And Ion Slip Effects On Chemically Reacting Mhd Casson Flow Through Moving Surface, Gaurav Kumar, Vinod Kumar
Applications and Applied Mathematics: An International Journal (AAM)
The present investigation aims to analyze the combined effects of heat generation/absorption, Hall current, and ion slip on the flow of chemically reacting MHD Casson fluid over a moving vertical surface, considering ramped wall temperature and mass diffusion. The flow medium has been made porous. The analytical solution of the model's partial differential equations is derived using the Laplace transform technique aided by the Heaviside step function. The expressions for the Sherwood Number, Nusselt Number, and shear stress on the plate have been derived. The results obtained are found to be in outstanding agreement. The outcomes achieved are displayed through …
(R2153) Advanced Numerical Method For One Dimensional Burgers Equation With A Source Term, Yahaya Alassane Mahaman Nouri, Djibo Moustapha, Maman Yarodji Abdoul, Saley Bisso
(R2153) Advanced Numerical Method For One Dimensional Burgers Equation With A Source Term, Yahaya Alassane Mahaman Nouri, Djibo Moustapha, Maman Yarodji Abdoul, Saley Bisso
Applications and Applied Mathematics: An International Journal (AAM)
This paper investigates a numerical strategy for the one-dimensional Burgers equation with a nonzero source term. Such equations arise in simplified models of transport and diffusion processes and are often used to assess the performance of numerical schemes for nonlinear evolution problems. The proposed approach combines a second-order Crank–Nicolson time discretization with a projection-based procedure that separates the nonlinear convective contribution from diffusive effects. Spatial approximation is carried out using a Chebyshev spectral collocation method, which provides high accuracy for smooth solutions with a limited number of degrees of freedom. The resulting fully discretized system is solved through an iterative …
(R2147) Effect Of Mass Variation With Log-Logistic Distribution In Perturbed Interacting Cr3bp, Abdullah Abdullah, Majhar Ali, S. K. Sahdev
(R2147) Effect Of Mass Variation With Log-Logistic Distribution In Perturbed Interacting Cr3bp, Abdullah Abdullah, Majhar Ali, S. K. Sahdev
Applications and Applied Mathematics: An International Journal (AAM)
This paper investigates the motion of the infinitesimal body in the perturbed restricted three-body problem where the primary is heterogeneous in shape and secondary is with modified Newtonian potential. With the use of log-logistic distribution, space-time transformation and the above-said perturbations, we determine the equations of motion and quasi-Jacobian integral. Further, we numerically perform the locations of equilibrium points, their stability, regions of motion, periodic orbits and Poincaré surfaces of section.
(R2155) Mathematical Insights Into Cancer Cells Growth Stability And Chaos, Pardeep Kumar, Kashish Agarwal, Tripti Anand, Sarita Jha
(R2155) Mathematical Insights Into Cancer Cells Growth Stability And Chaos, Pardeep Kumar, Kashish Agarwal, Tripti Anand, Sarita Jha
Applications and Applied Mathematics: An International Journal (AAM)
In this research paper, we examined a recently proposed three-dimensional dynamical model of cancer cell growth that explicitly couples the populations of tumour cells, healthy host cells, and immune cells (Pardeep et al.). We aim to elucidate the model’s novel biological features relative to classical tumour–immune interaction models and to characterize its dynamical regimes. This model is governed by nonlinear differential equations featuring a quadratic tumour proliferation term and bilinear coupling terms for tumour–immune and tumour–host interactions. Then, we performed the rigorous analysis by solving the fixed-point equations and from the Jacobian matrices at the resulting equilibria to identify the …
(R2124) Impact Of Delay And Awareness On Hiv/Aids Epidemic Model, Debashis Biswas
(R2124) Impact Of Delay And Awareness On Hiv/Aids Epidemic Model, Debashis Biswas
Applications and Applied Mathematics: An International Journal (AAM)
A delayed HIV/AIDS epidemic model with awareness has been taken here. Essentially, it is mentioned that the disease spreads among the population only through contact (horizontal transmission). The equilibrium points of both the proposed models are investigated, and their stability is discussed. Both models have two types of equilibria, namely the disease-free and the disease positive. The basic reproductive number of both models has been calculated by using the next generation matrix technique. In this paper, the main motivation is to find a way to decrease the disease transmission. Also discussed the impact of delay and awareness on the HIV/AIDS …
(R2167) Global Stability Of Seirs Model With Single Dose Vaccination In Varying Population, Govind Jha, Prabhat Mandal, Sarita Jha
(R2167) Global Stability Of Seirs Model With Single Dose Vaccination In Varying Population, Govind Jha, Prabhat Mandal, Sarita Jha
Applications and Applied Mathematics: An International Journal (AAM)
Understanding the evolution of infectious diseases within a dynamic population is essential for formulating effective public health strategies. This work introduces an enhanced SEIRS epidemic model that incorporates demographic variation and a single-dose vaccination strategy, supporting that immunity can be reduced over time. The model reflects diseases in which individuals may return to the susceptible state after recovery. Extending prior reduced three-dimensional models, this study develops a complete four-dimensional SEIRS framework, thereby increasing the model’s applicability to real-world scenarios. The inclusion of the full system presents greater analytical challenges. To overcome this, we extend the second additive compound matrix and …
(R2159) A Novel Extension Of Picard’S Method For Fractional Initial Value Problems With Convergence Analysis On Finite And Infinite Intervals, Jag Mohan, Anju Sood
(R2159) A Novel Extension Of Picard’S Method For Fractional Initial Value Problems With Convergence Analysis On Finite And Infinite Intervals, Jag Mohan, Anju Sood
Applications and Applied Mathematics: An International Journal (AAM)
In recent years, fractional differential equations have emerged as powerful tools for modeling phenomena with memory and hereditary effects, owing to their non-local characteristics. These equations excel in tackling intricate problems across physics, engineering, and other fields. As analytical solutions are often infeasible, numerical methods play a vital role in their practical application. In this study, we have generalized Picard’s method to address fractional differential initial value problems with Caputo derivative, establishing an existence and uniqueness theorem applicable to both finite and infinite intervals. To substantiate our findings, we provide an example with graphical evidence demonstrating the convergence of the …
(R2175) Application Of Similarity Measures On Bipolar Complex Neutrosophic Matrices In United Nations’ Sdg-17 Using Python, T. Muthuraji, N. Krishnapraveen
(R2175) Application Of Similarity Measures On Bipolar Complex Neutrosophic Matrices In United Nations’ Sdg-17 Using Python, T. Muthuraji, N. Krishnapraveen
Applications and Applied Mathematics: An International Journal (AAM)
The increasing complexity of decision-making environments demands mathematical frameworks capable of modeling bipolar, indeterminate, and phase-dependent uncertainty simultaneously. Bipolar Complex Neutrosophic theory provides such a structure, but the extension of similarity measures to matrix-based environments remains largely unexplored. In this study, we formally develop cosine, Dice, Jaccard, and hybrid vector similarity measures for Bipolar Complex Neutrosophic Matrices (BCNMs). Each matrix element is represented by a Bipolar Complex Neutrosophic Number (BCNN), enabling structured representation of multidimensional uncertainty within a matrix framework. We also design and implement efficient Python-based computational tools to automate similarity evaluation for BCNMs. The proposed algorithms reduce computational …
(R2191) The Study Of Stokes Drag In The R4bp Under The Effect Of Coriolis And Centrifugal Forces With Variable Mass, Amit Mittal, Krishan Pal, Rajiv Aggarwal, Rajveer Singh
(R2191) The Study Of Stokes Drag In The R4bp Under The Effect Of Coriolis And Centrifugal Forces With Variable Mass, Amit Mittal, Krishan Pal, Rajiv Aggarwal, Rajveer Singh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we examine the existence, locations, and stability of the equilibrium points under the combined effects of Stokes drag and small perturbations in the Coriolis and centrifugal forces in the triangular restricted four-body problem (TR4BP) with variable mass. A triangular (Lagrangian) configuration is formed by the three primary bodies, which occupy the vertices of an equilateral triangle. All the primaries are treated as point masses to study the dynamical behavior of an infinitesimal body. The numerical results indicate that, under the influence of Stokes drag, none of the equilibrium points lie along a straight line. The centrifugal force …
(R2140) Verifying The Proper Efficiency In Multi-Objective Problems, Javad Bavali, Hadi Basirzadeh
(R2140) Verifying The Proper Efficiency In Multi-Objective Problems, Javad Bavali, Hadi Basirzadeh
Applications and Applied Mathematics: An International Journal (AAM)
Over the past decade, numerous approaches have been put forward to address multi-objective optimization problems-focusing on approximating proper efficient solutions instead of the efficient solutions. These methods are important because, according to Geoffrion’s conjecture, proper non-dominated solutions constitute a dense subset of the non-dominated solution set. In the current study, first, using the definition of Kuhn-Tucker’s proper efficiency, we present a linear subproblem that investigates the proper efficiency of a randomly selected feasible point. Additionally, the relationship between the different types of solutions to this sub-problem and the proper efficient solutions of the main problem has been analyzed. Next, we …
(R2187) Analysis Of Neurological Impairments In Hospitalized Patients Using Cubic Neutrosophic Sets, B. Anitha, M. Lavanya
(R2187) Analysis Of Neurological Impairments In Hospitalized Patients Using Cubic Neutrosophic Sets, B. Anitha, M. Lavanya
Applications and Applied Mathematics: An International Journal (AAM)
This study introduces an MCDM-based framework for identifying neurological diseases in hospitalized patients using symptom-based evaluations. A team of interns, guided by the chief doctor, was responsible for determining each patient’s precise condition from the presented neurological symptoms. To enhance diagnostic accuracy, the interns employed the TOPSIS and WASPAS methods to assess and rank the potential disease options. The combined analysis yielded a clear identification of the highest ranked disease for every patient, highlighting the effectiveness of these MCDM techniques in supporting clinical decision making.
(R2138) Analytical Approaches To Integral Equations In The Dynamics Of The Oblate Spheroidal: Earth-Sun-Satellite System, Kumari Ranjana, M. Shahbaz Ullah, M. Javed Idrisi
(R2138) Analytical Approaches To Integral Equations In The Dynamics Of The Oblate Spheroidal: Earth-Sun-Satellite System, Kumari Ranjana, M. Shahbaz Ullah, M. Javed Idrisi
Applications and Applied Mathematics: An International Journal (AAM)
The deployment of artificial satellites in different gravitational environments has significantly impacted space exploration. We have introduced the study of artificial satellites under the influence of gravitational forces from oblate spheroids. To confront complex obstacles the myriads of both numerical and analytical techniques have been formulated. Among these methods, a new approach involving the integration of integral equations has been introduced. This innovative approach has been applied to study the trajectories of artificial satellites as they navigate the gravitational influence of oblate spheroids. Suitable kernels have been carefully chosen to solve the integral equations. The solutions have been found and …
(R2129) Layer Resolving Classical Scheme For A System Of N Time-Dependent Singularly Perturbed Problems With Spatial Delay And Robin Initial Conditions, K. Ramiya Bharathi, G. E. Chatzarakis, M. Joseph Paramasivam
(R2129) Layer Resolving Classical Scheme For A System Of N Time-Dependent Singularly Perturbed Problems With Spatial Delay And Robin Initial Conditions, K. Ramiya Bharathi, G. E. Chatzarakis, M. Joseph Paramasivam
Applications and Applied Mathematics: An International Journal (AAM)
This article deals with solving a system of n time-dependent singularly perturbed problems with spatial delay and robin initial conditions. Each equation’s leading term is multiplied by a distinct small positive parameter, inducing overlapping initial layers. Due to presence of these parameters and delay terms, intricate layers occur at interior regions of the domain. To capture the behavior of these layers the solution is decomposed into two components and layer functions are also formulated. The formulation of the layer resolving numerical scheme involves temporal and spatial discretization on uniform and piecewise uniform Shishkin meshes respectively. The proposed framework is found …
(Si16-04) Some Fixed Point Theorems On Chatterjea Type Contractions, Irom Shashikanta Singh, Y. Mahendra Singh
(Si16-04) Some Fixed Point Theorems On Chatterjea Type Contractions, Irom Shashikanta Singh, Y. Mahendra Singh
Applications and Applied Mathematics: An International Journal (AAM)
This paper establishes the existence of fixed points related to strict Chatterjee contractive mappings by relaxing the compactness of the underlying spaces and the continuity of the mapping involved, using altering distance functions and comparison functions in the general setting of metric spaces. Several non-trivial and illustrative examples are provided to demonstrate, support, and validate the obtained theoretical results. In addition, a theorem that can characterize the completeness of metric spaces through the existence of fixed points is rigorously proven and discussed. Furthermore, a theorem on strict Chatterjea-type modulus contractive mappings without continuity assumptions and with relaxed compactness conditions is …
(R2151) Error Estimates Of Barycentric Lagrange Interpolation, Alvira Yawar, Swarnima Bahadur
(R2151) Error Estimates Of Barycentric Lagrange Interpolation, Alvira Yawar, Swarnima Bahadur
Applications and Applied Mathematics: An International Journal (AAM)
Barycentric interpolation, which comes from Lagrange interpolation, is a useful method in numerical analysis. In this research paper, we explain how the barycentric interpolation formula is derived and discuss its features. We compare its stability and performance with the traditional Lagrange formula. First, we show how to get the barycentric formula from the Lagrange polynomial and present it as a rational function. We also provide an estimate of the error. Then, we use numerical examples to show that the barycentric formula is more stable and works better, especially when the degree of interpolation is high. Our results show that the …
(R2136) Dimensionless Modeling And Analytical Insights Into Botanical Biofiltration Systems For Voc Reduction, N. Jeeva, K. M. Dharmalingam, M. Veeramuni
(R2136) Dimensionless Modeling And Analytical Insights Into Botanical Biofiltration Systems For Voc Reduction, N. Jeeva, K. M. Dharmalingam, M. Veeramuni
Applications and Applied Mathematics: An International Journal (AAM)
This paper investigates the mathematical modeling of volatile organic compound (VOC) removal using a botanical biofiltration system, an effective biological treatment method. It examines mass balance concentrations in the gas and biofilm phases, highlighting their significance in VOC degradation and indoor air quality enhancement. The governing equations of the proposed model are converted into a dimensionless form, resulting in second-order nonlinear differential equations. Derived from mass transfer and reaction kinetics principles, these equations incorporate specific boundary conditions to capture gas-biofilm interactions and VOC removal dynamics in biofiltration. The modified Adomian decomposition method (MADM) is utilized to derive analytical solutions for …
(R2084) Clarification Of Mathematical Criteria For Conservative Forces And Vector Fields With A Point Singularity In Engineering Studies, Nelli Aleksandrova
(R2084) Clarification Of Mathematical Criteria For Conservative Forces And Vector Fields With A Point Singularity In Engineering Studies, Nelli Aleksandrova
Applications and Applied Mathematics: An International Journal (AAM)
The paper deals with a comprehensive analysis of existing mathematical criteria for conservative vector fields including algebraic and geometrical interpretation of Extended Green’s Theorem. Special attention is devoted to the fields containing a point singularity, which represents the primary challenge both in teaching Calculus and in carrying out scientific research in general in computer engineering. Examples of real-world physical fields such as gravitational, electric and magnetic ones are used to appreciate the proposed clarification while teaching various interchangeable disciplines such as mathematics, physics and engineering. Other examples from scientific research literature are provided as well to support the necessity of …
(R2134) Continuous Shooting Approach With Improved Shooting Slope For Solving Higher Integer Order Boundary Value Problem, Razaq Adekola Oderinu, Adebowale Niyi Aderibigbe, Saheed Alao, Ahmed Adeyi Yahaya
(R2134) Continuous Shooting Approach With Improved Shooting Slope For Solving Higher Integer Order Boundary Value Problem, Razaq Adekola Oderinu, Adebowale Niyi Aderibigbe, Saheed Alao, Ahmed Adeyi Yahaya
Applications and Applied Mathematics: An International Journal (AAM)
This study presents a semi-analytical shooting method for solving nonlinear higher-order boundary value problems by integrating the Adomian Decomposition Method into the shooting technique, enabling series-form solutions. To enhance convergence, new higher-order shooting slopes and their corresponding supplementary equation formulas were introduced. Three numerical examples demonstrated the method’s accuracy: for the first two, absolute errors were computed using available exact solutions, while the third was compared with reference literature due to the absence of an exact solution. The method achieved very small absolute errors in the first two cases, and results from the third closely matched the literature. Tolerance values—defined …
(R2125) Impact Of Convective Condition And Inclined Magnetic Field On Casson Nanofluid With Bioconvection In Porous Medium, Touseef Fayaz, O. Otegbeye, Md. Sharifuddin Ansari
(R2125) Impact Of Convective Condition And Inclined Magnetic Field On Casson Nanofluid With Bioconvection In Porous Medium, Touseef Fayaz, O. Otegbeye, Md. Sharifuddin Ansari
Applications and Applied Mathematics: An International Journal (AAM)
This paper presents an analysis on steady magnetohydrodynamic boundary layer flow of Casson nanofluid with microorganisms near an expandable boundary in a porous medium. The flow behaviour is analysed by incorporating impacts of magnetic field applied in a direction which makes an angle α∗ with the boundary and convective conditions in temperature, nanoparticle concentration and microorganism density at boundary. Non-dimensionalised nonlinear and coupled system of ordinary differential equations are solved by exercising a numerical algorithm termed as spectral local-linearization method. The considered numerical algorithm is found to be convergent and capable of yielding accurate results. Graphical sketches of solutions obtained …
(R2130) Cusum-Test For Unconditional Variance Change Detection In Bilinear Garch Models, Edoh Katchekpele, Abdou Kâ Diongue, Ben Célestin Kouassi
(R2130) Cusum-Test For Unconditional Variance Change Detection In Bilinear Garch Models, Edoh Katchekpele, Abdou Kâ Diongue, Ben Célestin Kouassi
Applications and Applied Mathematics: An International Journal (AAM)
We examine CUSUM-type test for detecting changes in unconditional variance within Bilinear GARCH models. We derive the asymptotic distribution of the test statistic under both null and alternative hypotheses and assess test effectiveness in identifying single structural breaks. Simulation studies support our theoretical results and demonstrate the practical utility of the test.
(R2135) System Dynamical Analysis For Ann-Based Numerical Solutions Of A Compartmental Model: A Bio-Mathematical Model Of Drug Diffusion Through The Compartments Of Blood And Tissue, Rakesh Kumar, Sudarshan Dhua
(R2135) System Dynamical Analysis For Ann-Based Numerical Solutions Of A Compartmental Model: A Bio-Mathematical Model Of Drug Diffusion Through The Compartments Of Blood And Tissue, Rakesh Kumar, Sudarshan Dhua
Applications and Applied Mathematics: An International Journal (AAM)
This paper provides a considerably efficient numerical approach to acquire the solutions of a biomathematical model administrating oral and intravenous distribution of pharmaceuticals in the human body. The proposed numerical approach based on an artificial neural network is employed to extract numerical solutions for a detailed set of ordinary differential equations and analyze the change in concentration of drug diffusion via the compartments of blood and tissue medium. We primarily focus on analyzing three different models established on the diffusion process, exercising laws of mass action and Fick’s principle. In this work, the existing model is reformulated as an optimization …