Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method

DOI10.1016/j.amc.2009.08.002zbMath1178.65085OpenAlexW1983714033MaRDI QIDQ1039676

Fazhan Geng

Publication date: 23 November 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.002

zbMATH Keywords

numerical examplesconvergent seriesreproducing kernel Hilbert space methodequivalent integro-differential equationnonlinear singular three-point boundary value problem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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