On the convergence of fourth-order finite difference method for weakly regular singular boundary value problems

DOI10.1080/00207160310001650116zbMath1048.65078OpenAlexW4248164709MaRDI QIDQ4464268

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Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1080/00207160310001650116

zbMATH Keywords

convergenceuniform meshNumerical examplesfourth-order finite difference methodtwo-point singular 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 (7)

On the convergence of Mickens' type nonstandard finite difference schemes on Lane-Emden type equations ⋮ On the choice of denominator functions and convergence of NSFD schemes for a class of nonlinear SBVPs ⋮ Applications of modified Mickens-type NSFD schemes to Lane-Emden equations ⋮ A note on fourth order method for doubly singular boundary value problems ⋮ A high-order numerical algorithm for solving Lane-Emden equations with various types of boundary conditions ⋮ A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions ⋮ Spline solution of non-linear singular 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
• 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
• A Uniform Mesh Finite Difference Method for a Class of Singular Two-Point Boundary Value Problems
• On a class of weakly regular singular two point boundary value problems—I

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