Step size strategies for the numerical integration of systems of differential equations

DOI10.1016/j.cam.2011.06.032zbMath1250.65093OpenAlexW2082307492MaRDI QIDQ432821

Gülnur Çelık Kızılkan, Kemal Aydın

Publication date: 4 July 2012

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.2011.06.032

zbMATH Keywords

error analysisRunge-Kutta methodRichardson extrapolationInitial value problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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)

Cites Work

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• A new variable step size algorithm for Cauchy problem
• Solution of the least-squares problem for logistic function
• Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations.
• The Forced van der Pol Equation I: The Slow Flow and Its Bifurcations
• The automatic integration of ordinary differential equations

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