An adaptive implementation of interpolation methods for boundary value ordinary differential equations

DOI10.1007/BF01934466zbMath0577.65067MaRDI QIDQ1065509

N. S. Huslak, Reginald P. Tewarson

Publication date: 1983

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

computational experimentsrefinementglobal errorinterpolation methodslinear boundary conditionslocal error controlautomatic meshvariable order algorithm

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)

Related Items (2)

Numerical methods for three-dimensional models of the urine concentrating mechanism ⋮ The Newton-Cotes quadratures for solving a delay differential system

Cites Work

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• Solving boundary-value problems with a spline-collocation code
• Improving the accuracy of finite difference methods for solving boundary value ordinary differential equations
• On the use of splines for the numerical solution of nonlinear two-point boundary value problems
• A Variable Order Finite Difference Method for Nonlinear Multipoint Boundary Value Problems

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