Solving Biomechanical Model Using Third-Order Runge-Kutta Methods

Authors:
R. R. Ahmad;A. S. Rambely;L. H. Lim
Affiliations:
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor, Malaysia 43600;School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor, Malaysia 43600;Maths Dept, Universiti Tunku Abdul Rahman, Petaling Jaya, Selangor, Malaysia
Venue:
Computer Mathematics
Year:
2008

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Abstract

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.