Numerical study for a class of singular two-point boundary value problems using Green's functions

DOI10.1016/j.amc.2006.01.096zbMath1105.65339OpenAlexW1974773917MaRDI QIDQ864735

Zhongdi Cen

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.096

zbMATH Keywords

convergencenumerical resultsGreen's functionerror boundsingular two-point boundary value problemssingular equations

Mathematics Subject Classification ID

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) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (13)

Solving a class of singular two-point boundary value problems using new modified decomposition method ⋮ Numerical solution of singular two-point boundary value problems by the collocation method with the Chebyshev bases ⋮ Discrete Galerkin and iterated discrete Galerkin methods for derivative-dependent Fredholm-Hammerstein integral equations with Green's kernel ⋮ A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method ⋮ An effective approach for numerical solution of linear and nonlinear singular boundary value problems ⋮ Superconvergence of Iterated Galerkin Method for a Class of Nonlinear Fredholm Integral Equations ⋮ A quartic \(B\)-spline for second-order singular boundary value problems ⋮ Numerical solution of singular boundary value problems using Green's function and improved decomposition method ⋮ A mixed decomposition-spline approach for the numerical solution of a class of singular boundary value problems ⋮ A collection of computational techniques for solving singular boundary-value problems ⋮ Convergence analysis for derivative dependent Fredholm-Hammerstein integral equations with Green's kernel ⋮ The series expansion and Chebyshev collocation method for nonlinear singular two-point boundary value problems ⋮ Collocation by singular splines

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A collocation code for singular boundary value problems in ordinary differential equations
• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• Collocation for Singular Boundary Value Problems of Second Order
• Collocation Methods for Singular Boundary Value Problems

This page was built for publication: Numerical study for a class of singular two-point boundary value problems using Green's functions