On some 4-Point Spline Collocation Methods for Solving Ordinary Initial Value Problems

DOI10.1080/00207160212108zbMath1003.65090OpenAlexW2010465708MaRDI QIDQ4551545

S. M. Mahmoud, H. M. El-Hawary

Publication date: 23 January 2003

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160212108

zbMATH Keywords

stabilityconvergenceconsistencynumerical exampleserror analysisinitial value problemsstiff system4-point spline collocation methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (4)

Spline collocation method with four parameters for solving a system of fourth-order boundary-value problems ⋮ Spline collocation methods for solving delay-differential equations. ⋮ Stability and convergence of the two parameter cubic spline collocation method for delay differential equations ⋮ The numerical solution of higher index differential–algebraic equations by 4-point spline collocation methods

Cites Work

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• Solving Ordinary Differential Equations I
• Iterated defect correction for the efficient solution of stiff systems of ordinary differential equations
• Spline Function Approximations for Solutions of Ordinary Differential Equations
• Collocation at Gaussian Points

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