On some 4-point spline collocation methods for solving second-order initial value problems

DOI10.1016/S0168-9274(01)00041-1zbMath0983.65078OpenAlexW2077486448MaRDI QIDQ5939900

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

Publication date: 7 April 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00041-1

zbMATH Keywords

stabilityconvergencestiff systemsnonlinearlinearspline collocation methoddiscrete variable methodsglobal methodssecond-order initial value problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (7)

Initial value problems with retarded argument solved by iterated quadratic splines ⋮ A spline collocation approach for a generalized wave equation subject to non-local conservation condition ⋮ Spline collocation methods for solving delay-differential equations. ⋮ Generalized Laguerre pseudospectral method based Laguerre interpolation ⋮ On a class of spline-collocation methods for solving second-order initial-value problems ⋮ Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations ⋮ The numerical solution of higher index differential–algebraic equations by 4-point spline collocation methods

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