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- Applied Mathematics and Computations (19)
- Homotopy Analysis Method (3)
- MHD (3)
- Numerical Analysis and Differential Equations (3)
- Fictitious Boundary Method (2)
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- Particulate Flow (2)
- ADM (1)
- Adomian’s decomposition method (1)
- Analytic solution (1)
- And auxiliary functions (1)
- Autoregressive (1)
- Axisymmetric flow; Magnetic field; Ohmic law; Radiation; Stretching surface; Similarity transformation. (1)
- Batchelor number (1)
- Boundary Layer Flow (1)
- Bounded domain (1)
- Brinkman number (1)
- Burger’s equation; Upwind conservative and non-conservative method; Upwind conservative method; Lax Friedrich method; Lax Wendroff method; Mac Cormack method (1)
- Delay differential equation (1)
- Direct Numerical Simulation (1)
- Distributed lag (1)
- Entropy Technique (ET) (1)
- Exchange Rate (1)
- FEM computation (1)
- Finite Element Method (1)
- Flow and heat transfer (1)
- Fourth-order fractional diffusion-wave equation (1)
- Fractional calculus (1)
- Fractional differential equation (1)
- Grey Relational Projection Technique (GRPT) (1)
- HAM (1)
Articles 1 - 22 of 22
Full-Text Articles in Applied Mathematics
Axisymmetric Hydromagnetized Heat Transfer Across A Stretching Sheet With Joule Heating And Radiation, Tahir Naseem, Sajeela Bibi
Axisymmetric Hydromagnetized Heat Transfer Across A Stretching Sheet With Joule Heating And Radiation, Tahir Naseem, Sajeela Bibi
International Journal of Emerging Multidisciplinaries: Mathematics
This investigation thoroughly analyses magnetohydrodynamics axisymmetric fluid flow and heat transfer over an exponentially stretching sheet in the presence of radiation and Joule heating effects. The governing partial differential equation is obtained and converted into coupled ordinary differential equations using a suitable similarity transformation. This transformation is also used to re-model the governing system to modify ODEs and boundary conditions using the BVP4C MATLAB) package. The effects of the involved physical parameters, such as suction/injection parameter, magnetic parameter, Prandtl number, Eckert number, and radiation parameter on velocity and temperature profiles are shown graphically. The effects of various parameters on Nusselt …
Heat And Mass Transfer Of Viscous Fluid In A Permeable Channel With Reabsorbing Walls, Aamir Shahzad, Aniqa Shah, Shamsul Haq
Heat And Mass Transfer Of Viscous Fluid In A Permeable Channel With Reabsorbing Walls, Aamir Shahzad, Aniqa Shah, Shamsul Haq
International Journal of Emerging Multidisciplinaries: Mathematics
An analytical investigation is made to determine the heat and mass transfer mechanism of non-isothermal highly viscous uid in a longnarrow porous channel. The walls of the channel are maintained at the same temperature. The mathematical model is developed by using the continuity, momentum, energy and diffusion equations. Analytical solutions are establish to get the expressions of velocity field, pressure distribution, mass ow rate, wall shear stress, temperature profile, mass concentration distribution as well as the heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) with involved physical parameters. Numerical results are graphically sketched to describe the role …
Homotopy Analysis Method For Free-Convective Boundary-Layer Equation Using Pade ´Approximation: Pade ´Approximation For Free-Convective Boundary-Layer Equation, Raja Mehmood Khan, Naveed Imran
Homotopy Analysis Method For Free-Convective Boundary-Layer Equation Using Pade ´Approximation: Pade ´Approximation For Free-Convective Boundary-Layer Equation, Raja Mehmood Khan, Naveed Imran
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is devoted to the study of a free-convective boundary layer flow modeled by a system of nonlinear ordinary differential equations. We apply Homotopy Analysis Method (HAM) along with Pade´ approximation to solve free-convective boundary-layer equation. It is observed that the combination of HAM and the Pade´ approximation improves the accuracy and enlarge the convergence domain.
Three Dimensional Mhd Viscous Flow Under The Influence Of Thermal Radiation And Viscous Dissipation, Sana Akbar, Muhammad Sohail
Three Dimensional Mhd Viscous Flow Under The Influence Of Thermal Radiation And Viscous Dissipation, Sana Akbar, Muhammad Sohail
International Journal of Emerging Multidisciplinaries: Mathematics
The present study elucidates the results on the mathematical modeling and numerical study for the viscous flow demeanor past over the plane horizontal surface stretched nonlinearly in two sideways. Furthermore, a comprehensive analysis on the effects of magnetic field, thermal radiation and viscous dissipation are considered and observed. Cartesian coordinate system is employed for modelling the flow equations. In this research water act as a traditional thermal fluid. Three distinct nanoparticles namely Gold (Au), Aluminum (Al) and Silver (Ag) are suspended. Numerical and analytical solution for the resulting differential equations demonstrates the flow demeanor for velocity and temperature distribution are …
Numerical Solution Of An Inviscid Burger Equation With Cauchy Conditions, Muhammad Zahid
Numerical Solution Of An Inviscid Burger Equation With Cauchy Conditions, Muhammad Zahid
International Journal of Emerging Multidisciplinaries: Mathematics
This article deals with the solution of the Cauchy problem for the Inviscid Burger equation. Various numerical techniques like Upwind non Conservative, Upwind Conservative, Lax Friedrich, Lax Wendorff, and Mac Cormack, are used to solve initial-value problems for the Inviscid Burger equation. Through various model problems, the efficiency and accuracy of the techniques have been shown via the graphical and tabulated form with the exact solution
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is devoted to the study of a fourth-order fractional diffusion-wave equation defined in a bounded space domain. We apply Homotopy Analysis Method (HAM) to obtain solutions of fourth-order fractional diffusion-wave equation defined in a bounded space domain. It is observed that the HAM improves the accuracy and enlarge the convergence domain.
Flow And Heat Transfer Of Power Law Fluid Over Horizontal Stretching Cylinder With Partial Slip Condition And Thermal Radiation, Zakia Shamim, Azeem Shahzad, Tahir Naseem
Flow And Heat Transfer Of Power Law Fluid Over Horizontal Stretching Cylinder With Partial Slip Condition And Thermal Radiation, Zakia Shamim, Azeem Shahzad, Tahir Naseem
International Journal of Emerging Multidisciplinaries: Mathematics
The aim of the present study is to investigate the boundary layer flow of power-law fluid over the horizontal stretching cylinder. The temperature-dependent thermal conductivity of the power-law fluid is considered. Combined effects of constant thermal conductivity and viscous dissipation are analyzed in heat transfer. The relevant boundary layer partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by using suitable transformations. These nonlinear ordinary differential equations are solved by the BVP4C method using MATLAB. The accuracy of computed results is checked by comparing them with existing literature. To discuss the effects of flow parameters on velocity and …
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
International Journal of Emerging Multidisciplinaries: Mathematics
This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit Trapezoidal rule in conjunction with Newton's method, and Relaxed Monte Carlo method (RMCM). The results revealed that OAFM is more efficient, simple to apply, and fast convergent. The auxiliary functions used in the method control its convergence. The values of arbitrary constants involved in the auxiliary functions …
Squeezing Flow Between Two Parallel Plates Under The Effects Of Maxwell Equation And Viscous Dissipation, Muhammad Bilal, Anwar Saeed, Ayesha Ali
Squeezing Flow Between Two Parallel Plates Under The Effects Of Maxwell Equation And Viscous Dissipation, Muhammad Bilal, Anwar Saeed, Ayesha Ali
International Journal of Emerging Multidisciplinaries: Mathematics
The unsteady, incompressible electroviscous fluid flow has been investigated with thermal energy transmission across two parallel plates. The upper plate is in motion, while the lower one is stationary. The flow is governed by the Navier-Stokes equations, which are combined with the Maxwell equation. The system of nonlinear PDEs is simplified to a system of ODEs along with their boundary conditions using Von-Karman's transformation. For the problem's analytic solution, the homotopy analysis method (HAM) has been used, and the result is compared to the Runge Kutta method of order four and latest computational technique parametric continuation method (PCM) to determine …
Effects Of Thermal Radiation On Jeffery Hamel Flow For Stretchable Walls Of Newtonian Fluid: Analytical Investigation, Umar Khan, Adnan Abbasi, Naveed Ahmed, Basharat Ullah
Effects Of Thermal Radiation On Jeffery Hamel Flow For Stretchable Walls Of Newtonian Fluid: Analytical Investigation, Umar Khan, Adnan Abbasi, Naveed Ahmed, Basharat Ullah
International Journal of Emerging Multidisciplinaries: Mathematics
A viscous, incompressible fluid flows between two inclined planar walls. The walls are able to extend and decrease in size. By substituting an appropriate dimensionless variable, the dimensional partial differential equations of the flow model can be transformed into nondimensional ordinary differential equations. Solving nondimensional velocity and temperature in the model is made possible by the use of an analytical approach known as Adomian's decomposition (AD). Runge-Kutta techniques of order four are used to calculate numerical solutions to ensure the correctness of the analytical answer. On velocity and temperature, the impact of several dimensionless physical quantities embedded in the flow …
Numerical Analysis Of A Falling Circular Particle Passing Through A Fluid Channel Having Diamond Shaped Obstacles, Kamran Usman
Numerical Analysis Of A Falling Circular Particle Passing Through A Fluid Channel Having Diamond Shaped Obstacles, Kamran Usman
International Journal of Emerging Multidisciplinaries: Mathematics
It has been analyzed that the particle motion inside a vertical channel while passing across diamond shaped obstacles produces severe effects on the fluid. Particle interaction with outer boundary, internal obstacles and with the fluid is inspected. An Eulerian based approach using a computational mesh is used in which solid particles are allowed to move freely in fluid domain. Fluid and particle interaction inside the whole domain is carried using Fictitious boundary method (FBM). A multigrid finite element method combined with the fictitious boundary method (FEM-FBM) is used for the simulation of in-compressible fluid flow along with rigid particle falling …
Joule And Viscous Dissipation Effects On Mhd Boundary Layer Flow Over A Stretching Sheet With Variable Thickness, Asif Mahmood, Saleem Ahmed, Huma Iram
Joule And Viscous Dissipation Effects On Mhd Boundary Layer Flow Over A Stretching Sheet With Variable Thickness, Asif Mahmood, Saleem Ahmed, Huma Iram
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is aimed to investigate the influence of Joule and viscous dissipation effects on boundary layer flow over a stretching sheet with variable thickness and surface temperature. The flow is subjected to space dependent magnetic field applied normal to the sheet. Mathematical modeling is done under boundary layer approximations. The governing partial differential equations are transformed into ordinary differential equations via appropriate similarity transformations. The resulting set of nonlinear equations is solved numerically. The impact of various physical parameters on velocity and temperature profiles is analyzed. Also, their effects on skin friction coefficient and Nusselt number are presented and …
Homotopy Analysis Method For Solving System Of Non-Linear Partial Differential Equations, Naveed Imran, Raja Mehmood Khan
Homotopy Analysis Method For Solving System Of Non-Linear Partial Differential Equations, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper applies Homotopy Analysis Method (HAM) to obtain analytical solutions of system of non-linear partial differential equations. Numerical results clearly reflect complete compatibility of the proposed algorithm and discussed problems. Moreover, the validity of the present solution and suggested scheme is presented and the limiting case of presented findings is in excellent agreement with the available literature. The computed solution of the physical variables against the influential parameters is presented through graphs. Several examples are presented to show the efficiency and simplicity of the method.
Reduce Differential Transform Method For Analytical Approximation Of Fractional Delay Differential Equation, Tahir Naseem, Adnan Aurang Zeb, Muhammad Sohail
Reduce Differential Transform Method For Analytical Approximation Of Fractional Delay Differential Equation, Tahir Naseem, Adnan Aurang Zeb, Muhammad Sohail
International Journal of Emerging Multidisciplinaries: Mathematics
The study of an entirely new class of differential equations known as delay differential equations or difference differential equations has resulted from the development and application of automatic control systems (DDEs). Time delays are virtually always present in any system that uses feedback control. Because it takes a finite amount of time to sense information and then react to it, a time delay is required. This exploration was carried out for the solution of fractional delay differential equations by using the reduced differential transform method. The results are presented in a series of form that leads to an exact answer. …
Multiple Attribute Decision Making Based On Interval-Valued Neutrosophic Trapezoidal Fuzzy Numbers And Its Application In The Diagnosis Of Viral Flu, Muhammad Touqeer, Ehtisham Rasool
Multiple Attribute Decision Making Based On Interval-Valued Neutrosophic Trapezoidal Fuzzy Numbers And Its Application In The Diagnosis Of Viral Flu, Muhammad Touqeer, Ehtisham Rasool
International Journal of Emerging Multidisciplinaries: Mathematics
Decision-making technique (DMT) is mostly used in artificial intelligence and cognitive sciences to elaborate individual and social perception. So, one of the most important strategies in DMT evolved in medical diagnosis scrutiny regarding the connection of symptoms and diagnosis of diseases due to uncertainty and fuzziness in the relevant information. The focus of this article is to develop a diagnostic decision making strategy for the diagnosis of Viral diseases with close related symptoms using the Interval-valued trapezoidal neutrosophic fuzzy Numbers (IVTrNFN) w.r.t multiple attribute decision making (MADM) strategy where, the attribute value is evolved to Interval-valued trapezoidal neutrosophic fuzzy number …
Homotopy Analysis Method For Non-Linear Schrodinger Equations, Naveed Imran, Raja Mehmood Khan
Homotopy Analysis Method For Non-Linear Schrodinger Equations, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper applies Homotopy Analysis Method (HAM) to obtain analytical solutions of nonlinear Schrödinger equations. Numerical results clearly reflect complete compatibility of the proposed algorithm and discussed problems. Several examples are presented to show the efficiency and simplicity of the method.
Numerical Investigation Of Viscous Fluid Flow And Heat Transfer In The Closed Configuration Installed With Baffles, Afraz Hussain, Aqsa Afzal, Rashid Mahmood
Numerical Investigation Of Viscous Fluid Flow And Heat Transfer In The Closed Configuration Installed With Baffles, Afraz Hussain, Aqsa Afzal, Rashid Mahmood
International Journal of Emerging Multidisciplinaries: Mathematics
In this study, the flow and heat transfer of viscous fluid features inside the closed configuration with a heated baffles are investigated. Due to the non-linearity of the model, the numerical approach is adopted to get the solution. Initially, the governing equations were discretized in the 2D domain using the Finite Element Method (FEM). To improve accuracy, a hybrid mesh is built at a coarse level, then the grid refinement level is increased. The baffle gap (B.g) is varied from 0.2 to 0.6 and three Reynolds numbers are chosen for this investigation: . The Grashof number is fixed in all …
Autoregressive Distributed Lag Transformation For Exchange Rate And Trade Balance, Muhammad Asif, Shamsul Haq
Autoregressive Distributed Lag Transformation For Exchange Rate And Trade Balance, Muhammad Asif, Shamsul Haq
International Journal of Emerging Multidisciplinaries: Mathematics
In this study the prime objective is to initiate autoregressive distributed lag transformation for exchange rate and trade balance to avoid the possible existence of multicollinearity among the explanatory variables and to analyze the variation in real exchange rate and its impact on trade balance in Pakistan. The Koyck model was used for studying the immediate impact and long run relationship between the variables by using time series annual data ranging from 1981 to 2021. The result showed that there is an inverse association between the trade balance and the exchange rate. It is evident from the results that the …
Approximate Solution Of Generalized Modified B-Equation By Optimal Auxiliary Function Method, Aatif Ali, Laiq Zada, Rashid Nawaz
Approximate Solution Of Generalized Modified B-Equation By Optimal Auxiliary Function Method, Aatif Ali, Laiq Zada, Rashid Nawaz
International Journal of Emerging Multidisciplinaries: Mathematics
In this study, the implantation of a new semi-analytical method called the optimal auxiliary function method (OAFM) has been extended to partial differential equations. The adopted method was tested upon for approximate solution of generalized modified b-equation. The first-order numerical solution obtained by OAFM has been compared with the variational homotopy perturbation method (VHPM). The method possesses the auxiliary function and control parameters which can be easily handled during simulation of the nonlinear problem. From the numerical and graphical results, we concluded the method is very effective and easy to implement for the nonlinear PDEs.
Novel Techniques For Solving Goursat Partial Differential Equations In The Linear And Nonlinear Regime, Tahir Naseem
Novel Techniques For Solving Goursat Partial Differential Equations In The Linear And Nonlinear Regime, Tahir Naseem
International Journal of Emerging Multidisciplinaries: Mathematics
The Goursat problem, which is related to hyperbolic partial differential equations, occurs in a variety of branches of physics and engineering. We studied the solution of the Goursat partial differential equation utilizing the reduced differential transform (RDT) and Adomian decomposition (AD) techniques in this inquiry. The problem's analytical solution is found in series form, which converges to exact solutions. The approaches' reliability and efficiency were evaluated using the Goursat problems (linear and non-linear). Additionally, the accuracy of the findings obtained demonstrates the reduced differential approach's superiority over the Adomian decomposition method and other numerical methods previously applied to the Goursat …
Examining The Behavior Of A Solid Particle Interacting With Circular Obstacles In An Incompressible Flow, Kamran Usman, Muhammad Yaqoob, Kainat Komal Kayani, Muhammad Shahid
Examining The Behavior Of A Solid Particle Interacting With Circular Obstacles In An Incompressible Flow, Kamran Usman, Muhammad Yaqoob, Kainat Komal Kayani, Muhammad Shahid
International Journal of Emerging Multidisciplinaries: Mathematics
We have examined the effects on fluid and particle motion due to solid particles passing around circular obstacles in particulate flows. Particle interaction with internal obstacles, outer boundary and with the fluid is inspected. Eulerian approach using a fixed computational mesh is used across which the solid particles move freely in fluid. Treatment of fluid and particle interaction inside the whole domain is carried using Fictitious boundary method (FBM). A collision model is presented to handle particle-cylinder interactions. The particulate flow is computed using multigrid finite element solver FEATFLOW. Numerical experiments are performed considering different particle positions and different alignment …
Analysis Of Non-Isothermal Mhd Thin Film Flow From Moving Belt With Slip And Variable Viscosity, Shamsul Haq, Aamir Shahzad, Muhammad Ilyas
Analysis Of Non-Isothermal Mhd Thin Film Flow From Moving Belt With Slip And Variable Viscosity, Shamsul Haq, Aamir Shahzad, Muhammad Ilyas
International Journal of Emerging Multidisciplinaries: Mathematics
This paper aims the study of electrically conducting Newtonian fluid flow and heat transfer considering the slip at the moving belt with temperature dependent viscosity. A domain decomposition method (ADM) is employed to solve the non-linear system of equations. Explicit expressions are obtained for velocity profile and temperature distribution. Effect of variable viscosity parameter, slip, Hartmann number, Brinkmann number and Stoke number are discussed and graphically shown.