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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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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Abstract 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.
AbstractList 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.
Author Priya, S. Shanmuga
Unyong, B.
Raja, V.
Sekar, E.
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  surname: Unyong
  fullname: Unyong, B.
  organization: Department of Mathematics, School of Science, Walailak University, Thasala, Nakhon Si Thammarat 80160, Thailand
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SubjectTerms finite difference scheme
fourth order differential equation
non-local boundary condition
shishkin mesh
singular perturbation problems
Title Fitted mesh method for singularly perturbed fourth order differential equation of convection diffusion type with integral boundary condition
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