Optimal order spline methods for nonlinear differential and integro-differential equations

DOI10.1016/S0168-9274(98)00067-1zbMath0930.65145OpenAlexW2163965290MaRDI QIDQ1294559

Ian H. Sloan, Mahadevan Ganesh

Publication date: 29 June 1999

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00067-1

zbMATH Keywords

stabilityconvergencenumerical exampleboundary value problemsorthogonal collocation methodnonlinear differential and integro-differential equationsspline approximation method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Nonlinear boundary value problems for ordinary differential equations (34B15) Other nonlinear integral equations (45G10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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