A NEW SECOND-ORDER DIFFERENCE APPROXIMATION FOR NONLOCAL BOUNDARY VALUE PROBLEM WITH BOUNDARY LAYERS

Author:

Arslan Derya1ORCID

Affiliation:

1. University of Bitlis Eren, Department of Mathematics, Faculty of Art and Science, 13200, Bitlis, Turkey

Abstract

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 problem for the numerical solution is discussed. Subsequently, the difference scheme is established on Bakhvalov-Shishkin mesh. Uniform convergence in the second-order is proven with respect to the ε− perturbation parameter in the discrete maximum norm. Finally, an example is provided to demonstrate the success of the presented numerical method. Thus, it is shown that indicated numerical results support theoretical results.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference30 articles.

1. A uniformly convergent difference scheme for singularly perturbed problem with convective term and zeroth order reduced equation.;G.M. Amiraliyev;Int. J. Appl. Math.,2000

2. Numerical solution of the singularly perturbed problem with nonlocal boundary condition

3. Difference schemes on the uniform mesh for a singularly perturbed pseudo-parabolic equations;G.M. Amiraliyev;Turk. J. Math.,1995

4. Finite difference method for solving singularly perturbed multi-point boundary value problem;D. Arslan;J. Inst. Natural and Appl. Sci.,2017

5. The optimization of methods of solving boundary value problems with a boundary layer

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