Solving biomechanical model using third-order runge-kutta methods

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages163-168
Number of pages6
Volume5081 LNAI
DOIs
Publication statusPublished - 2008
Event8th Asian Symposium on Computer Mathematics, ASCM 2007 -
Duration: 15 Dec 200717 Dec 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5081 LNAI
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other8th Asian Symposium on Computer Mathematics, ASCM 2007
Period15/12/0717/12/07

Fingerprint

Third-order Method
Runge Kutta methods
Runge-Kutta Methods
Runge-Kutta
Relative Error
Ordinary differential equations
Numerical methods
Ordinary differential equation
Exact Solution
Numerical Methods
Model
Numerical Results

Keywords

  • Biomechanics problem
  • Modified Runge- Kutta
  • Runge-Kutta

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Ahmad, R. . R., Rambely, A. S., & Lim, L. H. (2008). Solving biomechanical model using third-order runge-kutta methods. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5081 LNAI, pp. 163-168). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5081 LNAI). https://doi.org/10.1007/978-3-540-87827-8_13

Solving biomechanical model using third-order runge-kutta methods. / Ahmad, Rokiah @ Rozita; Rambely, Azmin Sham; Lim, L. H.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5081 LNAI 2008. p. 163-168 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5081 LNAI).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ahmad, RR, Rambely, AS & Lim, LH 2008, Solving biomechanical model using third-order runge-kutta methods. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 5081 LNAI, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5081 LNAI, pp. 163-168, 8th Asian Symposium on Computer Mathematics, ASCM 2007, 15/12/07. https://doi.org/10.1007/978-3-540-87827-8_13
Ahmad RR, Rambely AS, Lim LH. Solving biomechanical model using third-order runge-kutta methods. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5081 LNAI. 2008. p. 163-168. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-540-87827-8_13
Ahmad, Rokiah @ Rozita ; Rambely, Azmin Sham ; Lim, L. H. / Solving biomechanical model using third-order runge-kutta methods. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5081 LNAI 2008. pp. 163-168 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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