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

Document Type : Research Article

Authors

1 Department of Mathematics, School of Engineering, Presidency University, Bengaluru - 560 064, Karnataka, India

2 Department of Science and Humanities, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Chennai-601103, Tamil Nadu, India

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.

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References

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Journal of Mathematical Modeling
Volume 11, Issue 2
July 2023
Pages 411-423

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