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[PDF] Top 20 An operator method for telegraph partial differential and difference equations

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An operator method for telegraph partial differential and difference equations

An operator method for telegraph partial differential and difference equations

... The paper is organized as follows. Section  is an introduction where we provide the definition of the solution of the Cauchy problem (). In Section , stability estimates for the solution of this problem are ... See full document

17

Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method

Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method

... iteration method for short (VIM) to solve the Volterra’s integro-differential ...integral operator and also minimizes the computational time. The method requires no transformation or ... See full document

9

On skewed grid point iterative method for solving 2D hyperbolic telegraph fractional differential equation

On skewed grid point iterative method for solving 2D hyperbolic telegraph fractional differential equation

... of partial differential equations (PDEs) including two- and three-dimensional hyperbolic telegraph equations ...linear equations in the form Au = b, where A is a known non-singular ... See full document

29

A Comparative Study of Variational Iteration Method and He Laplace Method

A Comparative Study of Variational Iteration Method and He Laplace Method

... -expansion method [4] and Hirota bilinear method ...nonlinear partial diffenential equations by using various ...decomposition method (ADM) [7], He’s Semi- inverse method [8], ... See full document

9

On Approximate Solutions for Time-Fractional Diffusion Equation

On Approximate Solutions for Time-Fractional Diffusion Equation

... fractional partial differential equations (FPDE's) in finance, physics, image processing and engineering [1, ...classical partial differential equations ...general method ... See full document

6

Experimental Verification of Dynamic Modelling of Nitrogen Adsorption on Zeolite 13X with VSA Process

Experimental Verification of Dynamic Modelling of Nitrogen Adsorption on Zeolite 13X with VSA Process

... finite difference method, solid concentration is obtained by solving Ordinary Differential Equation (ODE) equations instead of Partial Differential Equation(PDE) [10, ... See full document

10

Introducing the Power Series Method to Numerically Approximate Contingent Claim Partial Differential Equations

Introducing the Power Series Method to Numerically Approximate Contingent Claim Partial Differential Equations

... this method is not common in the mathematical financial community, we will demonstrate it through some examples and compare it to EFDM and ...the differential equations by two ...in difference ... See full document

21

Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

... Fractional equations have enabled the investigation of the nonlocal response of multiple phenomena such as diffusion processes, electrodynamics, fluid flow, elasticity and many more [–]; fractional derivatives are ... See full document

17

Mean Square Convergent Finite Difference Scheme for Stochastic Parabolic PDEs

Mean Square Convergent Finite Difference Scheme for Stochastic Parabolic PDEs

... parabolic partial differential equations can be solved numerically using the stochastic difference (with seven points) method in mean square ...tial differential equations ... See full document

10

Finite Element Method for a Kind of Two Dimensional Space Fractional Diffusion Equation with Its Implementation

Finite Element Method for a Kind of Two Dimensional Space Fractional Diffusion Equation with Its Implementation

... space-fractional partial differential equations with Galerkin finite element method in space and a backward difference technique in time, and the stability and convergency were ... See full document

23

Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel

Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel

... mathematical method to describe models with nonlocal ...ferential equations has been stimulated due to their numerous applications in the areas of physics and engineering ...fractional partial ... See full document

18

Singularly Perturbed Parabolic Differential Equations with Turning Point and Retarded Arguments

Singularly Perturbed Parabolic Differential Equations with Turning Point and Retarded Arguments

... numerical method is developed in which the order of convergence and the error constant are independent of the parameter ε, ...finite difference scheme which utilizes special piecewise uniform mesh condensed ... See full document

6

A Computational Study with Finite Element Method and Finite Difference Method for 2D Elliptic Partial Differential Equations

A Computational Study with Finite Element Method and Finite Difference Method for 2D Elliptic Partial Differential Equations

... element method has better approximations for the first problem compared to finite difference method for all the step-sizes that we ...small difference in the results with better accuracy for ... See full document

21

FUZZY ALTERNATING DIRECTION IMPLICIT METHOD FOR SOLVING PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS IN THREE DIMENSIONS

FUZZY ALTERNATING DIRECTION IMPLICIT METHOD FOR SOLVING PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS IN THREE DIMENSIONS

... parabolic partial differential equations in three-dimensions using the finite difference method such as Alternating Direction Implicit ...Implicit method and also we applied ... See full document

8

Block Unification Scheme for Elliptic,  Telegraph, and Sine Gordon Partial  Differential Equations

Block Unification Scheme for Elliptic, Telegraph, and Sine Gordon Partial Differential Equations

... The paper is organized as follows. In Section 2, we derive a continuous linear multistep method (LMM) which is used to formulate the EBNUM. The computational aspects of the method are given in Section 3. ... See full document

11

Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

... elliptic equations many numerical schemes have been discussed which date back to the year 1984 (see ...elliptic partial differential equa- tions numerically finds strong interest among the research ...these ... See full document

36

A higher order blended compact difference (BCD) method for solving the general 2D linear second order partial differential equation

A higher order blended compact difference (BCD) method for solving the general 2D linear second order partial differential equation

... such equations [1, ...difference method and the other is called the implicit compact difference ...difference method, all the derivatives in partial differential equa- tions are explicitly ... See full document

21

Finite Difference Approximation for Linear Stochastic Partial Differential Equations with Method of Lines

Finite Difference Approximation for Linear Stochastic Partial Differential Equations with Method of Lines

... stochastic partial differential equation, or SPDE, describes the dynamics of a sto- chastic process de fi ned on a space-time ...new method for solving SPDEs based on the method of lines ... See full document

19

A. One Dimensional Differential Transform Method

A. One Dimensional Differential Transform Method

... nonlinear partial differential equations such as the Adomian Decomposition Method (ADM) [4-7], the EXP function method [8], the Homotopy Perturbation Method (HPM) [9], the ... See full document

5

A Characterization of Semilinear Surjective Operators and Applications to Control Problems

A Characterization of Semilinear Surjective Operators and Applications to Control Problems

... The novelty in this work lies in the following facts: First, the main results are obtained by standard and basic functional analysis such as Cauchy-Schwarz inequality, Hahn-Banach theorem, the open mapping theorem, etc. ... See full document

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