Numerical treatment for a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type

Document Type : Research Article

Author

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

Abstract

In this article, a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type is considered. A numerical technique combined with the continuation method is constructed to obtain the numerical computations. The newly developed numerical method is shown to be first order convergent uniformly with respect to the perturbation parameter.

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Journal of Mathematical Modeling
Volume 12, Issue 2
July 2024
Pages 355-369

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