Embedded implicit Runge–Kutta Nyström method for solving second-order differential equations

DOI10.1080/00207160601084505zbMath1111.65066OpenAlexW2063558383WikidataQ126245824 ScholiaQ126245824MaRDI QIDQ3427672

T. R. Ramamohan, S. O. Imoni, F. O. Otunta

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/10.1080/00207160601084505

zbMATH Keywords

stabilitynumerical examplesinitial value problemsoscillatory solutionssecond-order equationsstep-size controldiagonally implicit

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

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• High Phase-Lag-Order Runge--Kutta and Nyström Pairs