New algorithmic implementation of exact three-point difference schemes for systems of nonlinear ordinary differential equations of the second order

DOI10.1007/S11253-022-02060-YzbMath1506.65116OpenAlexW4302764006WikidataQ115379870 ScholiaQ115379870MaRDI QIDQ2084240

Yanyan Li

Publication date: 18 October 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02060-y

zbMATH Keywords

three-point difference schemesnonlinear ordinary differential equationsnonuniform grid

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (1)

Realization of the exact three-point finite-difference schemes for the system of second-order ordinary differential equations

Cites Work

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• Generalized three-point difference schemes of high-order accuracy for systems of second-order nonlinear ordinary differential equations
• Three-point difference schemes of high accuracy order for systems of nonlinear ordinary differential equations of the second order
• Exact and truncated difference schemes for boundary value ODEs
• Cheap Error Estimation for Runge--Kutta Methods
• Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation
• Accurate three-point difference schemes for second-order monotone ordinary differential equations and their implementation

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