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Solving Biomechanical Model Using Third-Order Runge-Kutta Methods

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Book cover Computer Mathematics (ASCM 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5081))

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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.

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References

  1. Rao, S.S.: Applied Numerical Methods for Engineers and Scientists. Prentice Hall, New Jersey (2002)

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  2. Nigg, B.M., Herzog, W. (eds.): Biomechanics of the Musculo-Skeletal system. John Wiley and Sons, England (2001)

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  3. Wazwaz, A.-M.: A Modified Third-order Runge-Kutta method. Appl. Math Letter. 3(3), 123–125 (1990)

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Deepak Kapur

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© 2008 Springer-Verlag Berlin Heidelberg

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Ahmad, R.R., Rambely, A.S., Lim, L.H. (2008). Solving Biomechanical Model Using Third-Order Runge-Kutta Methods. In: Kapur, D. (eds) Computer Mathematics. ASCM 2007. Lecture Notes in Computer Science(), vol 5081. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87827-8_13

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  • DOI: https://doi.org/10.1007/978-3-540-87827-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87826-1

  • Online ISBN: 978-3-540-87827-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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