A new method for solving a class of singular two-point boundary value problems

DOI10.1016/j.amc.2008.09.019zbMath1161.65060OpenAlexW2060792497MaRDI QIDQ2378695

Wenyan Wang, Bo Han, Ming-Gen Cui

Publication date: 14 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.09.019

zbMATH Keywords

orthonormal basistwo-point boundary value problemreproducing kernelanalytical approximate method

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) 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) Linear boundary value problems for ordinary differential equations (34B05)

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Cites Work

• An \(O(h^4)\) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems
• Existence and uniqueness of positive solution for singular boundary value problem
• Positive solution for singular boundary value problems
• Existence of positive solutions to a singular second order boundary value problem
• Numerical solution of singular boundary value problems via Chebyshev polynomial and B-spline
• A note on singular nonlinear boundary value problems
• Higher order finite difference method for a class of singular boundary value problems
• Solving singular two-point boundary value problem in reproducing kernel space
• Cubic spline for a class of singular two-point boundary value problems

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