A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh

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Turkish Journal of Mathematics and Computer Science
Volume:14 Issue:1
A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin ...

A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh

Authors : Hakkı DURU, Mutlu DEMİRBAŞ

Pages : 145-154

Doi:10.47000/tjmcs.1010528

View : 44 | Download : 22

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In this paper, singularly perturbed quasilinear boundary value problems are taken into account. With this purpose, a finite difference scheme is proposed on Shishkin-type mesh insert ignore into journalissuearticles values(S-mesh);. Quasilinearization technique and interpolating quadrature rules are used to establish the numerical scheme. Then, an error estimate is derived. A numerical experiment is demonstratedto verify the theory.
Keywords : Boundary value problem, error estimate, difference scheme, Shishkin mesh

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