The parameter-uniform convergence of a fitted operator method on non-uniform meshes for a singularly perturbed initial value problem

John J. H. Miller

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arXiv · 2008.06732

The parameter-uniform convergence of a fitted operator method on non-uniform meshes for a singularly perturbed initial value problem

John J. H. Miller

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Abstract

The parameter-uniform convergence of a fitted operator method for a singularly perturbed differential equation is normally available only for uniform meshes. Here we establish the parameter-uniform convergence of a fitted operator method on a non-uniform mesh for a singularly perturbed initial value problem. This is obtained by a new method of proof.

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John J. H. Miller. 2020-08-15. The parameter-uniform convergence of a fitted operator method on non-uniform meshes for a singularly perturbed initial value problem. https://arxiv.org/abs/2008.06732

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