Exact three-point difference scheme for singular nonlinear boundary value problems

DOI10.1016/j.cam.2015.12.003zbMath1332.65106OpenAlexW2200222489MaRDI QIDQ908384

N. E. Zubov

Publication date: 4 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.12.003

zbMATH Keywords

convergencenumerical exampleinitial value problemiteration methodnonlinear ordinary differential equationone-step methodsingular boundary value problemexact three-point difference scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) 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 hybrid asymptotic and augmented compact finite volume method for nonlinear singular two point boundary value problems ⋮ A new implicit-explicit local differential method for boundary value problems ⋮ An efficient multi-derivative numerical method for chemical boundary value problems ⋮ A new approach to constructing of explicit one-step methods of high order for singular initial value problems for nonlinear ordinary differential equations

Cites Work

• A three-point finite difference method for a class of singular two-point boundary value problems
• Exact and truncated difference schemes for boundary value ODEs
• Numerical Methods for Singular Boundary Value Problems
• Difference Methods for Boundary Value Problems with a Singularity of the First Kind
• Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation
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