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A new numerical approach for a singularly perturbed problem with two integral boundary conditions
(Sprınger Heıdelberg, 2021)
In this study, finite difference method on a Shishkin mesh is applied to solve the singularly perturbed problem with integral boundary conditions. Some properties of the exact solution are obtained. Finite difference scheme ...
A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition
(Unıv Tabrız, 2020)
We consider finite difference method to find best approximation of nonlinear singularly perturbed problem which contains multi-point boundary conditions. We surveyed the asymptotic estimates of the corresponding problem ...
The Comparison Study of Hybrid Method with RDTM for Solving Rosenau-Hyman Equation
(Walter De Gruyter Gmbh, 2020)
In this paper, the hybrid method (differential transform and finite difference methods) and the RDTM (reduced differential transform method) are implemented to solve Rosenau-Hyman equation. These methods give the desired ...
The Numerical Study of a Hybrid Method for Solving Telegraph Equation
(Walter De Gruyter Gmbh, 2020)
In this study, a robust hybrid method is used as an alternative method, which is a different method from other methods for the approximate of the telegraph equation. The hybrid method is a mixture of the finite difference ...
A Uniformly Convergent Numerical Study on Bakhvalov-Shishkin Mesh for Singularly Perturbed Problem
(Rgn Publ, 2020)
In this paper, singularly perturbed multipoint boundary value problem with a right boundary layer is considered. This problem is discretized using finite difference method on Bakhvalov-Shishkin type mesh. We give uniform ...
AN APPROXIMATE SOLUTION OF LINEAR SINGULARLY PERTURBED PROBLEM WITH NONLOCAL BOUNDARY CONDITION
(Unıv Prıshtınes, 2020)
This study is about the finite difference method for the solution of the singularly perturbed problem with the boundary layer and integral boundary condition. Firstly, we determine the behavior of the exact solution and ...
A Numerical Solution Study On Singularly Perturbed Convection-Diffusion Nonlocal Boundary Problem
(2019)
This important numerical method is given for the numerical solution of singularly perturbed convection-di§usion nonlocal boundary valueproblem. First, the behavior of the exact solution is analyzed, which is neededfor ...
A ROBUST HYBRID METHOD FOR THE SOLUTION OF FOKKER-PLANCK EQUATION
(Pushpa Publıshıng House, 2019)
An effective and alternative numerical method for Fokker-Planck equation, one of the partial differential equations, is presented in the current study. This method is a hybrid method that includes consequent applications ...
A New Second-Order Difference Approximation for Nonlocal Boundary Value Problem with Boundary Layers
(Vılnıus Gedımınas Tech Unıv, 2020)
The aim of this paper is to present finite difference method for numerical solution of singularly perturbed linear differential equation with nonlocal boundary condition. Initially, the nature of the solution of the presented ...
A Novel Numerical Approach for Solving Convection-Diffusion Problem with Boundary Layer Behavior
(Gazı Unıv, 2020)
This study deals with a new approach method for solving singularly perturbed boundary value problem of convection-diffusion type. Firstly, bounds on the solution and its derivative of solution to be used later in the article ...