Solving biomechanical model using third-order Runge-Kutta methods. (English) Zbl 1166.65354

Ahmad, R. R.; Rambely, A. S.; Lim, L. H.

Kapur, Deepak (ed.), Computer mathematics. 8th Asian symposium, ASCM 2007, Singapore, December 15–17, 2007. Revised and invited papers. Berlin: Springer (ISBN 978-3-540-87826-1/pbk). Lecture Notes in Computer Science 5081. Lecture Notes in Artificial Intelligence, 163-168 (2008).

Summary: A certain biomechanical model involves ordinary differential equations. This research focuses on solving a biomechanical model of a cyclist coasting downhill. The objective of this study is to establish the velocity of the model, using two numerical methods, i.e., the third-order Runge-Kutta methods. The two methods are the existing classical Runge-Kutta and a modified Runge-Kutta method formed by Wazwaz. The numerical results obtained from these two methods are compared with the exact solution and the relative errors are produced.
For the entire collection see [Zbl 1154.68017].

MSC:

65L06	Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
92D10	Genetics and epigenetics

Keywords:

biomechanics problem; Runge-Kutta; modified Runge-Kutta