A solution of the discrepancy occurs due to using the fitted mesh approach rather than to the fitted operator for solving singularly perturbed differential equations

DOI10.1016/j.amc.2006.02.009zbMath1155.65363OpenAlexW2086770567MaRDI QIDQ945420

B. E. Eshmatov

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.009

zbMATH Keywords

convergenceordinary differential equationboundary value problemsingularly perturbedfitted operatorfitted mesh

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

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Cites Work

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• Numerical analysis of boundary-value problems for singularly-perturbed differential-difference equations with small shifts of mixed type
• Parameter–uniform Fitted Mesh Method for Quasilinear Differential Equations with Boundary Layers
• Sufficient Conditions for Uniform Convergence of a Class of Difference Schemes for a Singularly Perturbed Problem
• ϵ-Uniform fitted mesh method for singularly perturbed differential-difference equations: Mixed type of shifts with layer behavior