Spline functions and the cauchy problems. II

DOI10.1007/BF01895845zbMath0448.65049OpenAlexW1845020090MaRDI QIDQ3894905

Tharwat Fawzy

Publication date: 1977

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01895845

zbMATH Keywords

rate of convergencespline functionsnonlinear second-order differential equations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (7)

Lakunäre Spline-Funktion und das Cauchy-Problem ⋮ The numerical solution of differential equations using modified lacunary spline functions of type (0;2;3) ⋮ (0, 1, 2, 4)interpolation by \(G\)-splines ⋮ The numerical solution of nonlinear differential equations by spline functions ⋮ Numerical solution by spline method for an elastic problem ⋮ Spline functions and the Cauchy problems. IV ⋮ Quintic spline interpolation on uniform meshes

Cites Work

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• [https://portal.mardi4nfdi.de/wiki/Publication:4402781 Approximate Solution of the Differential Equation y � � = f(x,y) with Spline Functions]
• A one-step method for the numerical solution of ordinary non-linear second-order differential equations based upon lobatto four-point quadrature formula

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