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

DOI10.1007/BF00940722zbMath0790.65073OpenAlexW1967063626MaRDI QIDQ1321345

Rajesh K. Bawa, Mohan K. Kadalbajoo

Publication date: 27 June 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00940722

zbMATH Keywords

cubic splinesboundary layersfinite difference schemesthird-order convergencetest examplessingularly perturbed two-point boundary value problemsthird-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) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (4)

B-spline collocation method for nonlinear singularly-perturbed two-point boundary-value problems ⋮ Spline based computational technique for linear singularly perturbed boundary value problems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations ⋮ A computational method for self-adjoint singular perturbation problems using quintic spline

Cites Work

• On Non‐Linear Ordinary Differential Equations of Boundary Layer Type
• On a Differential Equation of Boundary Layer Type
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