A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh
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Date
2022
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Journal ISSN
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Publisher
Association of Mathematicians (MATDER)
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 (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 demonstrated to verify the theory. © MatDer.
Description
Keywords
Boundary Value Problem, Difference Scheme, Error Estimate, Shishkin Mesh
Turkish CoHE Thesis Center URL
WoS Q
N/A
Scopus Q
N/A
Source
Turkish Journal of Mathematics and Computer Science
Volume
14
Issue
1
Start Page
145
End Page
154