Reproducing kernel method for singular fourth order four-point boundary value problems

zbMath1219.34032MaRDI QIDQ624886

Xiuying Li, Boying Wu

Publication date: 10 February 2011

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/244473

zbMATH Keywords

reproducing kernelfour point boundary conditionssingular fourth order linear ordinary differential equation

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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A new reproducing kernel method for linear nonlocal boundary value problems ⋮ An efficient numerical algorithm based on Haar wavelet for solving a class of linear and nonlinear nonlocal boundary-value problems ⋮ An optimal reproducing kernel method for linear nonlocal boundary value problems ⋮ An effective computational method for solving linear multi-point boundary value problems ⋮ A reproducing kernel method for solving nonlocal fractional boundary value problems ⋮ Reproducing kernel method for singular multi-point boundary value problems ⋮ A novel method for nonlinear singular fourth order four-point boundary value problems ⋮ An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems ⋮ Approximate analytical solutions of nonlocal fractional boundary value problems ⋮ Maximal thermo-geometric parameter in a nonlinear heat conduction equation

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