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

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