Fitted mesh method for singularly perturbed fourth order differential equation of convection diffusion type with integral boundary condition-Reference-Cited by-同舟云学术

Fitted mesh method for singularly perturbed fourth order differential equation of convection diffusion type with integral boundary condition

Published:2023 Issue:7 Volume:8 Page:16691-16707
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Raja V.¹,Sekar E.²,Priya S. Shanmuga³,Unyong B.⁴

Affiliation:

1. Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Guntur, Andhra Pradesh, India

2. Department of Mathematics, Amrita School of Physical Science, Amrita Vishwa Vidyapeetham, Coimbatore 641112, Tamilnadu, India

3. Department of Mathematics, Cauvery College for women, Tiruchirappalli, Tamilnadu, India

4. Department of Mathematics, School of Science, Walailak University, Thasala, Nakhon Si Thammarat 80160, Thailand

Abstract

<abstract><p>This article focuses on a class of fourth-order singularly perturbed convection diffusion equations (SPCDE) with integral boundary conditions (IBC). A numerical method based on a finite difference scheme using Shishkin mesh is presented. The proposed method is close to the first-order convergent. The discrete norm yields an error estimate and theoretical estimations are tested by numerical experiments.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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