Precise integration method for a class of singular two-point boundary value problems

DOI10.1007/s10409-013-0006-5zbMath1345.65052OpenAlexW1984492072MaRDI QIDQ315073

Wen-Zhi Zhang, Pei-Yan Huang

Publication date: 19 September 2016

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-013-0006-5

zbMATH Keywords

reduction methodhigh order multiple perturbation methodprecise integration methodsingular two point boundary value problem

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• He's variational iteration method for treating nonlinear singular boundary value problems
• Approximate solutions of singular two-point BVPs by modified homotopy analysis method
• A quartic \(B\)-spline for second-order singular boundary value problems
• Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decomposition method
• Solution of singular two-point boundary value problems using differential transformation method
• A collocation method for solving a class of singular nonlinear two-point boundary value problems
• Higher order finite difference method for a class of singular boundary value problems
• Precise time integration for linear two-point boundary value problems
• Parametric spline method for a class of singular two-point boundary value problems
• B-spline method for a class of singular two-point boundary value problems using optimal grid
• Cubic spline polynomial for non-linear singular two-point boundary value problems
• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• Cubic spline for a class of singular two-point boundary value problems
• On a finite difference method for singular two-point boundary value problems
• Correction method and extrapolation method for singular two-point boundary value problems
• Combined method for the solution of asymmetric Riccati differential equations

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