A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems

Document Type : Research Article


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


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.


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