A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems
Publish place: Journal of Mathematical Modeling، Vol: 12، Issue: 1
Publish Year: 1403
Type: Journal paper
Language: English
View: 124
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Document National Code:
JR_JMMO-12-1_003
Index date: 8 June 2024
A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems abstract
A class of two-parameter singularly perturbed nonlinear second order ordinary differential equations is considered in this article. A fitted mesh method which is a combination of finite difference scheme and a Shishkin mesh is developed to solve the problems. The method is proved to be essentially first order parameter independent convergent. Numerical experiments support the established theoretical results.
A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems Keywords:
Two-parameter nonlinear singular perturbation problems , boundary layers , Shishkin mesh , parameter independent convergence
A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems authors
Manikandan Mariappan
Department of Mathematics, School of Engineering, Presidency University, Bengaluru-۵۶۰ ۰۶۴, Karnataka, India
