Skip to main content

Solving Biomechanical Model Using Third-Order Runge-Kutta Methods

  • Conference paper

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

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.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Google Scholar 

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

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  4. Wolfram, S.: Mathematica: A System For Doing Mathematics By Computer,2nd edn. Addison-Wesley, Reading (1991)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Deepak Kapur

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

  • 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)

Publish with us

Policies and ethics