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

Numerical Analysis 2020-08-18 v1 Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2008.06732,
  title  = {The parameter-uniform convergence of a fitted operator method on non-uniform meshes for a singularly perturbed initial value problem},
  author = {John J. H. Miller},
  journal= {arXiv preprint arXiv:2008.06732},
  year   = {2020}
}

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Preprint

R2 v1 2026-06-23T17:52:47.200Z