Third-order variable-mesh cubic spline methods for singularly-perturbed boundary-value problems

DOI10.1016/0096-3003(93)90084-RzbMath0790.65071OpenAlexW2009095278MaRDI QIDQ1316152

Mohan K. Kadalbajoo, Rajesh K. Bawa

Publication date: 27 June 1994

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

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90084-r

zbMATH Keywords

convergencesingular perturbationtest examplesnonlinear singularly perturbed boundary value problemscubic-splinethird-order variable-mesh methods

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (2)

An exponentially fitted spline method for second-order singularly perturbed delay differential equations ⋮ Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh

Cites Work

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• Variable mesh methods for the numerical solution of two-point singular perturbation problems
• Some singularly perturbated superquadratic boundary value problems whose solutions exhibit boundary and shock layer behavior
• On Non‐Linear Ordinary Differential Equations of Boundary Layer Type

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