Approximate solution of three-point boundary value problems for second-order ordinary differential equations with variable coefficients

DOI10.1016/j.amc.2014.08.076zbMath1338.34057OpenAlexW2062761515MaRDI QIDQ297674

Qiong-Ao Huang, Xian-Ci Zhong

Publication date: 17 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.08.076

zbMATH Keywords

Fredholm integral equationapproximate solutionthree-point boundary value problemsvariable coefficientsconvergence and error estimate

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Theoretical approximation of solutions to ordinary differential equations (34A45) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Fredholm integral equations (45B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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The problem with non-separated multipoint-integral conditions for high-order differential equations and a new general solution ⋮ Existence and approximation of solution for a nonlinear second-order three-point boundary value problem ⋮ Approximate solution of Bagley-Torvik equations with variable coefficients and three-point boundary-value conditions ⋮ A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs ⋮ An algorithm of the boundary value problem based on multiscale orthogonal compact base

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