A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems-Reference-Cited by-同舟云学术

A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems

Published:2020-01-01 Issue:1 Volume:5 Page:405-412
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Yamac Kerem¹,Erdogan Fevzi²

Affiliation:

1. Dep. of Mathematics and Science Education , Van Yuzuncu Yil University , Van

2. Department of Mathematics , Van Yuzuncu Yil University , Van Turkey

Abstract

Abstract In this study we investigated the singularly perturbed boundary value problems for semilinear reaction-difussion equations. We have introduced a basic and computational approach scheme based on Numerov’s type on uniform mesh. We indicated that the method is uniformly convergence, according to the discrete maximum norm, independently of the parameter of ɛ. The proposed method was supported by numerical example.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.1.00038

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