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

08/15/2020

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by   John J. H. Miller, et al.

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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.