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Numerical Analysis and Applicable Mathematics

Research Article

Title

Difference Scheme on a Non-Uniform Mesh for Singularly Perturbed Reaction Diffusion Equations with Integral Boundary Condition

Authors

Velusamy Rajaa and Ayyadurai Tamilselvan*b
aDepartment of Mathematics, K.Ramakrishnan College of Technology, Tiruchirappalli - 621112, Tamilnadu, India.
bDepartment of Mathematics, Bharathidasan University, Tiruchirappalli - 620024, Tamilnadu, India.
*Corresponding author E-mail address: mathats@bdu.ac.in (Ayyadurai Tamilselvan)

Article History

Publication details: Received: 06th May 2020; Revised: 11th June 2020; Accepted: 15th June 2020; Published: 26th June 2020

Cite this article

Raja V.; Tamilselvan A. Difference Scheme on a Non-Uniform Mesh for Singularly Perturbed Reaction Diffusion Equations with Integral Boundary Condition. Numer. Anal. Appl. Math., 2020, 1(1), 33-44. 

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Abstract

In this paper we consider singularly perturbed reaction diffusion equations with integral boundary condition. A numerical method based on finite difference scheme on Shishkin mesh is presented. This method is proved to be almost second order convergent. An error estimate is derived in the discrete norm. Numerical results are presented, which validate the theoretical results.

Keywords

Singular perturbation problems; Finite difference scheme; Shishkin mesh; Integral boundary condition; Error estimate


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