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

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. Th...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 7; pp. 16691 - 16707
Main Authors Raja, V., Sekar, E., Priya, S. Shanmuga, Unyong, B.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
finite difference scheme
fourth order differential equation
non-local boundary condition
shishkin mesh
singular perturbation problems
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023853