An Error Embedded Runge-Kutta Method for Initial Value Problems

DOI10.5666/KMJ.2016.56.2.311zbMath1356.65174OpenAlexW2516318424MaRDI QIDQ2956606

WonKyu Jung, Sunyoung Bu, Phil Su Kim

Publication date: 18 January 2017

Published in: Kyungpook mathematical journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5666/kmj.2016.56.2.311

zbMATH Keywords

algorithmnumerical examplesinitial value problemerror controlvan der Pol equationstepsize controlembedded Runge-Kutta methodtwo-body Kepler problemerror embedded Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Two-body problems (70F05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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