An algorithm for second order initial and boundary value problems with an automatic error estimate based on a third derivative method

DOI10.1007/s11075-011-9492-3zbMath1236.65078OpenAlexW2053553623MaRDI QIDQ664616

Samuel N. Jator, Jiang Li

Publication date: 2 March 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9492-3

zbMATH Keywords

algorithmconvergencenumerical experimentsinitial value problemboundary value problemsecond order ODEautomatic error estimatethird derivative method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (8)

Boundary value technique based on a fifth derivative method of order 10 for fourth order initial and boundary value problems ⋮ A family of boundary value methods for systems of second-order boundary value problems ⋮ A computational study of the boundary value methods and the block unification methods for \(y = f(x, y, y')\) ⋮ Block hybrid third derivative Nyström type method for Bratu's equation ⋮ Unnamed Item ⋮ An explicit second order uniformly convergent difference algorithm for an initial value problem associated to second order differential equations ⋮ Boundary value methods for second-order PDEs via the Lanczos-Chebyshev reduction technique ⋮ Direct integrators for the general third-order ordinary differential equations with an application to the Korteweg-de Vries equation

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