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Robust computational technique for a class of singularly perturbed nonlinear differential equations with Robin boundary conditions

Publication Type : Journal Article

Source : Journal of Mathematical Modeling

Url : https://jmm.guilan.ac.ir/article_6648.html

Campus : Chennai

School : School of Engineering

Year : 2024

Abstract : In this article, a class of singularly perturbed nonlinear differential equations with Robin boundary conditions is considered. A numerical method consists of the classical finite difference operator over a Shishkin mesh with two-mesh algorithm is constructed to solve the problems. The method is proved to be first order convergent uniformly with respect to the perturbation parameter. Experiments are carried out for two different types of Robin boundary conditions and Neumann boundary conditions as a special case of Robin boundary conditions.

Cite this Research Publication : Manikandan Mariappan, R Ishwariya, Robust computational technique for a class of singularly perturbed nonlinear differential equations with Robin boundary conditions, Journal of Mathematical Modeling,2023.

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