Generalized three-point difference schemes of high-order accuracy for systems of second-order nonlinear ordinary differential equations

DOI10.1134/S0012266109070088zbMath1178.65089OpenAlexW2004396695MaRDI QIDQ1033667

L. B. Gnativ, M. V. Kutniv, Volodymyr L. Makarov

Publication date: 6 November 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266109070088

zbMATH Keywords

algorithmconvergencenumerical exampleerror estimatesDirichlet boundary conditionsNewton methodmonotone methodsystems of second-order nonlinear ordinary differential equationsthree-point finite difference method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (2)

Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm ⋮ New algorithmic implementation of exact three-point difference schemes for systems of nonlinear ordinary differential equations of the second order

Cites Work

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• Three-point difference schemes of high accuracy order for systems of nonlinear ordinary differential equations of the second order
• Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers
• A Two Point Difference Scheme of an Arbitrary Order of Accuracy for BVPS for Systems of First Order Nonlinear Odes
• Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation

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