A new high-accuracy difference method for a class of weakly nonlinear singular boundary-value problems

DOI10.1080/00207160601117180zbMath1114.65091OpenAlexW2014943752MaRDI QIDQ3427676

No author found.

Publication date: 23 March 2007

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

Full work available at URL: https://doi.org/10.1080/00207160601117180

zbMATH Keywords

convergencenumerical exampleNumerov's methodsingular 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 (4)

A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems ⋮ A note on fourth order method for doubly singular boundary value problems ⋮ Higher resolution methods based on quasilinearization and Haar wavelets on Lane–Emden equations ⋮ Doubly singular boundary value problems with derivative dependent source function: A fast‐converging iterative approach

Cites Work

• An application of Chawla's identity to a difference scheme for singular problems
• 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
• On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology.
• A fourth-order finite difference method based on uniform mesh for singular two-point boundary-value problems
• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• Numerical methods of high-order accuracy for singular nonlinear boundary value problems
• A numerical method for solving singular boundary value problems

This page was built for publication: A new high-accuracy difference method for a class of weakly nonlinear singular boundary-value problems