Finite difference methods for certain singular two-point boundary value problems

DOI10.1016/0377-0427(95)00146-8zbMath0854.65066OpenAlexW2001931069MaRDI QIDQ1919496

Yanyan Li

Publication date: 22 January 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00146-8

zbMATH Keywords

stabilityconsistencyNewton's methodnumerical experimentserror estimatefinite difference methodssingular two-point boundary value problemsmethod of series expansion

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) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

A class of multi-step difference schemes by using Padé approximant, A hybrid asymptotic and augmented compact finite volume method for nonlinear singular two point boundary value problems, A second order spline finite difference method for singular two-point boundary value problems., A new finite difference method for a class of singular two-point boundary value problems., A difference method for singular two-point boundary value problems, Efficient shooting method for solving two point boundary value problems, A non-uniform mesh finite difference method and its convergence for a class of singular two-point boundary value problems, Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions, A fourth-order finite difference method for a class of singular two-point boundary value problems., A difference scheme based on non-uniform mesh for singular two-point boundary value problems, A three-point finite difference method for a class of singular two-point boundary value problems

Cites Work

• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
• A numerical method for solving singular boundary value problems
• The Numerical Solution of Boundary Value Problems with an Essential Singularity
• A Uniform Mesh Finite Difference Method for a Class of Singular Two-Point Boundary Value Problems
• A Numerical Method for Singular Two Point Boundary Value Problems
• Difference Approximations for Boundary and Eigenvalue Problems for Ordinary Differential Equations