The extrapolation of Numerov's scheme for nonlinear two-point boundary value problems

DOI10.1016/j.apnum.2006.02.009zbMath1117.65116OpenAlexW2091824735MaRDI QIDQ870297

Yuan-Ming Wang

Publication date: 12 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.02.009

zbMATH Keywords

numerical resultsRichardson's extrapolationasymptotic error expansionnonlinear two-point boundary value problemNumerov's method

Mathematics Subject Classification ID

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

Related Items

On Numerov's method for a class of strongly nonlinear two-point boundary value problems ⋮ A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Numerov's method for a class of nonlinear multipoint boundary value problems ⋮ Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions ⋮ A fourth-order compact finite difference method for higher-order lidstone boundary value problems ⋮ A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations

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