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An Innovative Method To Estimate Groundwater Level, Wang Iau-Teh, Chung Weihao
An Innovative Method To Estimate Groundwater Level, Wang Iau-Teh, Chung Weihao
Applied Mathematics & Information Sciences
Soil properties and the position of illegal pumping wells can all be determined through the use of the groundwater level which, however, cannot be measured without the excavation of observation wells or the purchase of ground penetration radar. The former destroys terrain features, and the latter is expensive, aside from its limitations. This paper attempts to solve these problems by estimating groundwater levels economically via atmospheric conditions, and by collecting soil parameters near to the land’s surface. Firstly, the Penman-Monteith evaporation formula is explored to deduce the value of the embedded resistance ratio, which governs the involved water content, evaporation …
Auxiliary Principle Technique For Variational Inequalities, Muhammad Aslam Noor, Khalida Inayat Noor
Auxiliary Principle Technique For Variational Inequalities, Muhammad Aslam Noor, Khalida Inayat Noor
Applied Mathematics & Information Sciences
In this paper, some implicit type methods for solving general variational inequalities are suggested and investigated using the auxiliary principle technique. It is shown that the convergence of the implicit method requires only the g-pseudomonotonicity, which is a weaker condition than g-monotonicity. Our results can be viewed as important refinement and improvement of the known results. The technique and ideas of this paper may be extended for other classes of variational inequalities and related optimization problems. Some special cases are also discussed.
On The Distribution Of The Ratio Of Two Hyper-Erlang Random Variables, Therrar Kadri, Khaled Smaili, Seifedine Kadry
On The Distribution Of The Ratio Of Two Hyper-Erlang Random Variables, Therrar Kadri, Khaled Smaili, Seifedine Kadry
Applied Mathematics & Information Sciences
The distribution of ratio of two random variables has been studied by several authors especially when the two random variables are independent and come from the same family. In this paper, the exact distribution of the ratio of two independent Hyper- Erlang distribution is derived. However, closed expressions of the probability density, cumulative distribution function, reliability function, hazard function, moment generating function and the rth moment are found for this ratio distribution and proved to be a linear combination of the Generalized-F distribution. Moreover, the particular case, the ratio of two independent Hyper-Exponential distribution is examined.
Matrix Representation For The Beta Type Polynomials, Yilmaz Simsek
Matrix Representation For The Beta Type Polynomials, Yilmaz Simsek
Applied Mathematics & Information Sciences
The aim of this paper is to study and investigate some new properties of the beta polynomials. Taking derivative of the generating functions for beta type polynomials, we give two partial differential equations (PDEs). By using these PDEs, we derive derivative formulas of the beta type polynomials. In order to construct a matrix representation for the beta polynomials, we firstly show that the set of beta polynomials is linearly independent. By using linearly independent properties, we prove that any polynomial of degree less than and equal n are written as a linearly combination of the beta polynomials. Therefore, we define …
Global Stability Of A Delayed Hiv-1 Model With Saturations Response, Nigar Ali, Gul Zaman, M. Ikhlaq Chohan
Global Stability Of A Delayed Hiv-1 Model With Saturations Response, Nigar Ali, Gul Zaman, M. Ikhlaq Chohan
Applied Mathematics & Information Sciences
In this article, an HIV-1 infection dynamical model with saturation response including two continuous delays is presented. One delay represents the latent period between the time of contact of virus particles with targeted cells and the time of entering into the cells. While the other delay is used for the period of production of new virions that release from the infected cells. The basic reproduction number R0 is investigated and proved that if R0 ≤ 1, the infection-free equilibrium is globally asymptotically stable. However, if R0 > 1, then an infected equilibrium occurs which is globally asymptotically stable. The analytical and …
Effect Of Thermal Stress And Magnetic Field On Propagation Of Transverse Wave In An Anisotropic Incompressible Dissipative Initially Stressed Plate, M. M. Selim
Applied Mathematics & Information Sciences
In the present paper, we extend our previous work of the thermal effects on propagation of transverse waves in anisotropic incompressible dissipative pre-stressed plate, to investigate the effect of both thermal stress and magnetic field on transverse waves propagation in the medium. Biot incremental deformation theory has been used. The governing equations of transverse wave propagation are derived considering the magnetic forces applied on the plate through Maxwell equation. The influences of changes in anisotropy-type, thermal stress, initial stresses and magnetic field are investigated. The velocities of propagation as well as damping are discussed. Analytical analysis and Numerical computations reveal …
Combined Optimized Domain Decomposition Method And A Modified Fixed Point Method For Non Linear Diffusion Equation, M. R. Amattouch, H. Belhadj
Combined Optimized Domain Decomposition Method And A Modified Fixed Point Method For Non Linear Diffusion Equation, M. R. Amattouch, H. Belhadj
Applied Mathematics & Information Sciences
This work is devoted to an optimized domain decomposition method applied to a non linear anisotropic reaction equation. The proposed method is based on the idea of the optimized of two order (OO2) method developed this last two decades. We first use a modified fixed point technique to linearize the problem in a way to converge fately, then we generalize the OO2 method and modify it to obtain a new more optimized rate of convergence of the Schwarz algorithm. To compute the new rate of convergence we have used Fourier analysis. For the numerical computation we minimize this rate of …
Sumudu Computation Of The Transient Magnetic Field In A Lossy Medium, Fethi Bin Muhammad Belgacem, Eman H. Al-Shemas, Rathinavel Silambarasan
Sumudu Computation Of The Transient Magnetic Field In A Lossy Medium, Fethi Bin Muhammad Belgacem, Eman H. Al-Shemas, Rathinavel Silambarasan
Applied Mathematics & Information Sciences
This research article aims at treating the transverse electromagnetic wave propagation in lossy media, labeled TEMP. Following the trail of works by Hussain and Belgacem, and Belgacem et al. towards getting the transient electric field solution of Maxwell’s equations, here we seek Sumudu transform based solution for transient magnetic field. Moreover, we feature connected interesting shifting properties of the Sumudu transform, some found useful in solving this very particular problem. Furthermore, we establish new analytico-numerical results, and exhibit graphical profiles of Sumudued ramp, gaussian pulse, and finite sinusoidal functions.
Regional Constrained Observability For Distributed Hyperbolic Systems, Abel-Ilah Saaof, Adil Khazari, Ali Boutoulout
Regional Constrained Observability For Distributed Hyperbolic Systems, Abel-Ilah Saaof, Adil Khazari, Ali Boutoulout
Applied Mathematics & Information Sciences
The aim of this paper is to develop the question of the regional constrained observability for distributed hyperbolic system evolving in spatial domain W. It consists in the reconstruction of the initial conditions, in a subregion w of W, knowing that the initial position is between two prescribed functions in w and also the initial speed is between two others functions also prescribed in w. We give some definitions and proprieties concerning this concept and then we describe two approaches for solving this problem. The first is based on subdifferential technics and the second uses the Lagrangian multiplier method. This …
Green’S Function Iterative Method For Solving A Class Of Boundary Value Problems Arising In Heat Transfer, Marwan Abukhaled
Green’S Function Iterative Method For Solving A Class Of Boundary Value Problems Arising In Heat Transfer, Marwan Abukhaled
Applied Mathematics & Information Sciences
In this study, a new algorithm based on Green’s function fixed point iterations is developed and implemented to solve a class of nonlinear boundary value problems that arise in heat transfer. The method will be employed to determine the efficiency of convective straight fins with temperature dependent thermal conductivity. The main idea of this method is to find an appropriate Green’s function that will be incorporated into a linear integral operator. By applying the fixed point theorem, an iterative formula for successive approximations will be obtained. Effectiveness and accuracy were noted when approximate results obtained by the proposed method reveal …
Discovery Of Effective Relationships Among Web Pages Using Hybrid Weighted Pso, M. Malarvizhi, S. A. Sahaaya Arul Mary
Discovery Of Effective Relationships Among Web Pages Using Hybrid Weighted Pso, M. Malarvizhi, S. A. Sahaaya Arul Mary
Applied Mathematics & Information Sciences
With the explosive growth of resources in the World Wide Web, web users are in need to make use of the computerized tools to discover the required resources, to find and analyze their usage patterns. The solutions are generated by traditional techniques but these solutions are not an optimized pattern. Several researchers focused on this issue, but still there is no established solution. Traditional and non-traditional techniques are utilized to generate the Usage patterns, but the solution generated is not in a form suitable to retrieve the required information. From the literature, it is found that Particle Swarm Optimization (PSO) …
Non-Linear Heat And Mass Transfer Of Second Grade Fluid Flow With Hall Currents And Thermophoresis Effects, Nabil T. M. El-Dabe, A. Refaie Ali, A. A. El-Shekhipy, G. A. Shalaby
Non-Linear Heat And Mass Transfer Of Second Grade Fluid Flow With Hall Currents And Thermophoresis Effects, Nabil T. M. El-Dabe, A. Refaie Ali, A. A. El-Shekhipy, G. A. Shalaby
Applied Mathematics & Information Sciences
A mathematical model analysis has been developed to investigate the effect of thermophoresis on unsteady flow of non- Newtonian fluid with heat and mass transfer through a porous medium over a permeable infinite vertical plate. The considered non- Newtonian fluid follows a second grade model and is stressed by a uniform strong magnetic field; so the Hall currents are taken into consideration. The problem is modulated mathematically by a system of coupled non-linear partial differential equations which pertaining to describe the continuity, momentum, energy and concentration. These equations involve the effects of thermal radiation, heat generation, thermal diffusion(Soret), viscous dissipation …
Note On A Picard-Like Method For Caputo Fuzzy Fractional Differential Equations, Stefania Tomasiello, Jorge E. Macıas-Dıaz
Note On A Picard-Like Method For Caputo Fuzzy Fractional Differential Equations, Stefania Tomasiello, Jorge E. Macıas-Dıaz
Applied Mathematics & Information Sciences
A Picard-like approach which has been used to solve a class of Volterra integro-differential equations, is extended in this manuscript to solve fuzzy fractional differential equations. Such technique uses quadrature rules and Picard’s iterations in the fuzzy context. In spite of this, it is conceived to become a non-recursive scheme, in terms of operational matrices, in the linear regime. Some properties of the method are thoroughly discussed, and some numerical examples are provided in order to illustrate the effectiveness of the approach.
Implementation Of Fuzzy And Adaptive Neuro-Fuzzy Inference Systems In Optimization Of Production Inventory Problem, Ahmed Abdel-Aleem, Mahmoud A. El-Sharief, Mohsen A. Hassan, Mohamed G. El-Sebaie
Implementation Of Fuzzy And Adaptive Neuro-Fuzzy Inference Systems In Optimization Of Production Inventory Problem, Ahmed Abdel-Aleem, Mahmoud A. El-Sharief, Mohsen A. Hassan, Mohamed G. El-Sebaie
Applied Mathematics & Information Sciences
Most of the earlier studies in the inventory control and management make assumption that the manufacturing system is reliable and does not fail. However, in the real industrial applications, there is no completely reliable manufacturing system; Machine failure occur and the production does not resume before repair. In this paper we will study and analyze the optimal lot size in a real production system which is not completely reliable. To obtain the optimal production quantity. Fuzzy Inference System (FIS) and Adaptive Neuro-Fuzzy Inference System (ANFIS) have been used for modeling and simulation. This approach combines the advantages of rule-base fuzzy …
( Α , Β )-Anti Fuzzy Filters Of Ci-Algebras, S. R. Barbhuiya
( Α , Β )-Anti Fuzzy Filters Of Ci-Algebras, S. R. Barbhuiya
Applied Mathematics & Information Sciences
The aim of this paper is to introduce the notion of (a,b )-anti fuzzy filters of CI-algebras and to investigate some of their basic properties. We also introduce the notion of doubt cartesian product of (a,b )-anti fuzzy filters and study their properties
Modified Heuristic Similarity Measure For Personalization Using Collaborative Filtering Technique, Saranya K. G., G. Sudha Sadasivam
Modified Heuristic Similarity Measure For Personalization Using Collaborative Filtering Technique, Saranya K. G., G. Sudha Sadasivam
Applied Mathematics & Information Sciences
Collaborative filtering is one of the most widely used techniques for personalized recommendation services to users, since it can assist users to specify their interest on available items. The key feature of this technique is to find similar users by applying similarity measures on user-item rating matrix. Personalized system can thus provide recommendations for users based on the interest of the active user as well as a likeminded users. The success of the recommendation process depends upon the similarity metric used to find the most similar users. Similarity measures like cosine, Pearson Correlation Coefficient, Jaccard Uniform Operator Distance etc are …
Estimation In Step-Stress Partially Accelerated Life Tests For The Chen Distribution Using Progressive Type-Ii Censoring, A. A. Soliman, G. A. Abd-Elmougod, M. M. Al- Sobhi
Estimation In Step-Stress Partially Accelerated Life Tests For The Chen Distribution Using Progressive Type-Ii Censoring, A. A. Soliman, G. A. Abd-Elmougod, M. M. Al- Sobhi
Applied Mathematics & Information Sciences
In this paper, step-stress partially accelerated life tests (SS-PALT) are considered when the lifetime of a product follows a two-parameter bathtub-shaped lifetime distribution (Chen distribution). Based on progressive Type-II censoring, the maximum likelihood estimates (MLEs) are obtained for the distribution parameters and acceleration factor. In addition, asymptotic variance and covariance matrix of the estimators are given. Approximate confidence intervals (CIs) for the parameters based on normal approximation to the asymptotic distribution of the MLEs and the bootstrap (CIs) are derived. An iterative procedure is used to obtain the estimators numerically using (Mathematica Package). A numerical example is presented to illustrate …
The Performance Of Re-Descending Weight Based Partial Robust M-Regression Methods, Mazni Mohamad, Norazan Mohamed Ramli, Nor Azura Md Ghani
The Performance Of Re-Descending Weight Based Partial Robust M-Regression Methods, Mazni Mohamad, Norazan Mohamed Ramli, Nor Azura Md Ghani
Applied Mathematics & Information Sciences
The presence of Partial Robust M-Regression (PRM) amongst other Partial Least Squares Regression (PLSR) techniques is mainly to offer a more robust and efficient method than the existing ones when data face outlier problem. PRMis conceptually different from other robust PLSR techniques because it proposed the usage of M-estimator instead of a more commonly used Least Squares (LS) estimator. Recently, there are several efforts among researchers to further enhance the PRM performance. Among those methods are Partial Robust M-Regression (based on Bisquare Weight Function) (PRMBS) and Partial Robust M-Regression (based on Hampel Weight Function) (PRMH). These two methods are re-descending …
On The Calculus Of Spatial Relations, Mohammad Atallah, Abd El-Mohsen Badawy
On The Calculus Of Spatial Relations, Mohammad Atallah, Abd El-Mohsen Badawy
Applied Mathematics & Information Sciences
A logical calculus based a method is compared with topological relation of 4 Intersection Model (4-IM) of spatial regions. The first result of this paper is answer of the following question: what is the smallest formula represents the four intersection model?. The second main result, as an algebraic view, under certain conditions, the family of all relations from 9-IM using the 4-IM of two closed regions A and B are obtained.
Operators Of Minimal Norm Via Modified Green’S Function For The Elastic Two-Dimensional Case Using The Simple Multipole Coefficients, Belkacem Sahli
Operators Of Minimal Norm Via Modified Green’S Function For The Elastic Two-Dimensional Case Using The Simple Multipole Coefficients, Belkacem Sahli
Applied Mathematics & Information Sciences
The problem of non-uniqueness arising in the integral formulation of an exterior boundary value problem for the elastic two-dimensional case can be faced using the fundamental solution technique. In this work, a criterion based on the minimization of the norm of the modified integral operator is established using simple multipole coefficients. As applications, the proposed procedure in the case of circle and perturbations of circle are examined.
Environmental Taxation: Privatization With Different Public Firm’S Objective Functions, Fernanda A. Ferreira, Flavio Ferreira
Environmental Taxation: Privatization With Different Public Firm’S Objective Functions, Fernanda A. Ferreira, Flavio Ferreira
Applied Mathematics & Information Sciences
In this paper, we study the effects of environmental taxes and privatization in a mixed market, by considering that the public firm aims to maximize the social welfare. The model has two stages. In the first stage, the government sets the environmental tax. Then, the firms engage in a Cournot competition, choosing output and pollution abatement levels. We also compare the results obtained with the ones got when the public firm aims to maximize the sum of consumer surplus and the firm’s profit.
An Efficient Numerical Technique For Solving The Inverse Gravity Problem Of Finding A Lateral Density, Elena N. Akimova, Peter S. Martyshko, Vladimir E. Misilov, Rostislav A. Kosivets
An Efficient Numerical Technique For Solving The Inverse Gravity Problem Of Finding A Lateral Density, Elena N. Akimova, Peter S. Martyshko, Vladimir E. Misilov, Rostislav A. Kosivets
Applied Mathematics & Information Sciences
The main goal of our paper is to construct a technique for the gravity inversion problem of finding a variable density in a horizontal layer on the basis of gravitational data. This technique consists of two steps: extracting the gravitational field and solving the linear integral equation of the density. After discretization and approximation of integral operator, this problem is reduced to solving large systems of linear algebraic equations. To solve these systems, we proposed a memory-efficient algorithm based on the iterative method of minimal residuals. The idea of memory optimization is based on exploiting the block-Toeplitz structure of coefficients …
Fejer Type Inequalities For (S,M)-Convex Functions In Second Sense, Miguel Vivas Cortez
Fejer Type Inequalities For (S,M)-Convex Functions In Second Sense, Miguel Vivas Cortez
Applied Mathematics & Information Sciences
In this paper, we consider (s,m)-convex functions in second sense which were introduced and studied by N. Eftekhari . We prove several F´ejer-Hermite-Hadamard type integral inequalities for (s,m)-convex functions in second sense. Our results include several new and known results as special cases.We expect that the ideas and techniques used in this paper may inspire interested readers to explore some new applications of these newly introduced functions in various fields of pure and applied sciences.
On Hermite-Hadamard Type Integral Inequalities For N-Times Differentiable S-Logarithmically Convex Functions With Applications, Muhammad Amer Latif, Sever Silvestru Dragomir
On Hermite-Hadamard Type Integral Inequalities For N-Times Differentiable S-Logarithmically Convex Functions With Applications, Muhammad Amer Latif, Sever Silvestru Dragomir
Applied Mathematics & Information Sciences
In this paper, we establish Hermite-Hadamard type inequalities for functions whose nth derivatives are s-logarithmically convex functions. From our results, several results for classical trapezoidal and classical midpoint inequalities are obtained in terms second derivatives that are s-logarithmically convex functions as special cases. Finally, applications to special means of the obtained results are given.
Combined Laplace Transform-Homotopy Perturbation Method For Sine-Gordon Equation, Waleed Al-Hayani
Combined Laplace Transform-Homotopy Perturbation Method For Sine-Gordon Equation, Waleed Al-Hayani
Applied Mathematics & Information Sciences
In this paper, the combined Laplace transform-homotopy perturbation method C(LT-HPM) is presented and used to solve the initial value problem for the sine-Gordon equation to obtain the approximate-exact solutions. The results obtained show the reliability and the efficiency of this method.
Two Reliable Efficient Methods For Solving Time- Fractional Coupled Klein-Gordon-Schrdinger Equations, S. Saha Ray, S. Sahoo
Two Reliable Efficient Methods For Solving Time- Fractional Coupled Klein-Gordon-Schrdinger Equations, S. Saha Ray, S. Sahoo
Applied Mathematics & Information Sciences
In this paper, homotopy perturbation method and homotopy perturbation transform method have been implemented for solving time fractional coupled Klein-Gordon-Schrdinger equations. We first applied homotopy perturbation method for solving time fractional coupled Klein-Gordon-Schrdinger equations, which does not require a small parameter in the equations. Then we presented an algorithm of the homotopy perturbation transform method to solve coupled Klein-Gordon-Schrdinger equations. This paper establishs the effectiveness of the homotopy perturbation transformation method in solving fractional coupled Klein-Gordon-Schrdinger equations over homotopy Perturbation method. Here we obtain the solutions of fractional coupled Klein-Gordon-Schrodinger equations, which are obtained by replacing the time derivatives with …
The Zweier Ideal Convergent Sequence Spaces Over P− Metric Spaces And De La Vall´E E-Poussin Mean Of Order A Defined By Musielak-Orlicz Functions, N. Kavitha, N. Subramanian
The Zweier Ideal Convergent Sequence Spaces Over P− Metric Spaces And De La Vall´E E-Poussin Mean Of Order A Defined By Musielak-Orlicz Functions, N. Kavitha, N. Subramanian
Applied Mathematics & Information Sciences
In this paper we introduce the I− of c2 sequence spaces over p− metric spaces using Zweier transform and defined by Musielak function. We also examine some topological properties and prove some inclusion relation between these spaces and the Fatou property and the Banach-Saks property of the new space and h Za L 2 fl ,k(d (x1) ,d (x2) , · · · ,d (xn−1))kp iI .
System Of Systems Safety Analysis Of Gnss Based On Functional Dependency Network Analysis, Wangxun Zhang, Zhifei Li, Weiping Wang, Qun Li
System Of Systems Safety Analysis Of Gnss Based On Functional Dependency Network Analysis, Wangxun Zhang, Zhifei Li, Weiping Wang, Qun Li
Applied Mathematics & Information Sciences
The characteristics of the system of systems (SoS) present great challenges to the safety analysis of Global Navigation Satellite Systems (GNSS). Traditional safety analysis methods and techniques do not work well in a complex SoS, so new safety analysis technologies are needed to adapt to safety problems in SoS. This study first expounds upon the shortcomings of traditional safety analysis methods on GNSS safety and vulnerability study. Then some discussion and works on SoS safety is shown to introduce this new field. In addition, the Functional Dependency Network Analysis (FDNA) method is introduced and an SoS safety modeling and analysis …
A New Numerical Approach For The Solutions Of Partial Differential Equations In Three-Dimensional Space, Brajesh Kumar Singh, Carlo Bianca
A New Numerical Approach For The Solutions Of Partial Differential Equations In Three-Dimensional Space, Brajesh Kumar Singh, Carlo Bianca
Applied Mathematics & Information Sciences
This paper deals with the numerical computation of the solutions of nonlinear partial differential equations in threedimensional space subjected to boundary and initial conditions. Specifically, the modified cubic B-spline differential quadrature method is proposed where the cubic B-splines are employed as a set of basis functions in the differential quadrature method. The method transforms the three-dimensional nonlinear partial differential equation into a system of ordinary differential equations which is solved by considering an optimal five stage and fourth-order strong stability preserving Runge-Kutta scheme. The stability region of the numerical method is investigated and the accuracy and efficiency of the method …
A Modified Fractional Derivative And Its Application To Fractional Vibration Equation, Jun-Sheng Duan
A Modified Fractional Derivative And Its Application To Fractional Vibration Equation, Jun-Sheng Duan
Applied Mathematics & Information Sciences
In this paper, a new modified definition of the fractional derivative is presented. The Laplace transform of the modified fractional derivative involves the initial values of the integer-order derivatives, but does not involve the initial values of the fractional derivatives as the Caputo fractional derivative. Using this new definition, Nutting’s law of viscoelastic materials can be derived from the Scott-Blair stress-strain law as the Riemann-Liouville fractional derivative. Moreover, as the order a approaches n− and (n−1)+, the new modified fractional derivative †Da t f (t) approaches the corresponding integer-order derivatives f (n)(t) and f (n−1)(t), respectively. Therefore, the proposed modified …