On the Convergence of Finite Difference Method for General Singular Boundary Value Problems

DOI10.1080/0020716031000112358zbMath1047.65060OpenAlexW2066319239MaRDI QIDQ4462123

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Publication date: 18 May 2004

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020716031000112358

zbMATH Keywords

convergencenumerical examplesfinite difference methodssingular two point boundary value problems

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) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (5)

A linearisation method for non-linear singular boundary value problems ⋮ An efficient numerical approach for solving a general class of nonlinear singular boundary value problems ⋮ Solution of a class of singular boundary value problems ⋮ B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems ⋮ Differential quadrature method (DQM) for a class of singular two-point boundary value problems

Cites Work

• A fourth-order spline method for singular two-point boundary-value problems
• Non polynomial splines and weakly singular two-point boundary value problems
• Positive interpolation with rational splines
• Finite difference methods and their convergence for a class of singular two point boundary value problems
• A fourth-order finite difference method based on uniform mesh for singular two-point boundary-value problems
• On a class of weakly regular singular two-point boundary value problems. II
• A Uniform Mesh Finite Difference Method for a Class of Singular Two-Point Boundary Value Problems
• On a finite difference method for singular two-point boundary value problems
• On a class of weakly regular singular two point boundary value problems—I
• A fourth-order finite-difference method based on non-uniform mesh for a class of singular two-point boundary value problems

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