Solving biomechanical model using third-order runge-kutta methods

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

doi:10.1007/978-3-540-87827-8_13

Solving biomechanical model using third-order runge-kutta methods

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

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Computer Mathematics
Subtitle of host publication	8th Asian Symposium, ASCM 2007, Singapore, December 15-17, 2007, Revised and Invited Papers
Publisher	Springer
Pages	163-168
Number of pages	6
ISBN (Electronic)	9783540878278
ISBN (Print)	3540878262, 9783540878261
DOIs	https://doi.org/10.1007/978-3-540-87827-8_13
Publication status	Published - 22 Sept 2008
Event	8th Asian Symposium on Computer Mathematics, ASCM 2007 - , Singapore Duration: 15 Dec 2007 → 17 Dec 2007

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Volume	5081
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	8th Asian Symposium on Computer Mathematics, ASCM 2007
Country/Territory	Singapore
Period	15/12/07 → 17/12/07

Keywords

Biomechanics problem
Modified Runge- Kutta
Runge-Kutta

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-540-87827-8_13

Cite this

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title = "Solving biomechanical model using third-order runge-kutta methods",

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.",

keywords = "Biomechanics problem, Modified Runge- Kutta, Runge-Kutta",

author = "Ahmad, \{R. R.\} and Rambely, \{A. S.\} and Lim, \{L. H.\}",

year = "2008",

month = sep,

day = "22",

doi = "10.1007/978-3-540-87827-8\_13",

language = "English",

isbn = "3540878262",

series = "Lecture Notes in Computer Science",

publisher = "Springer",

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booktitle = "Computer Mathematics",

note = "8th Asian Symposium on Computer Mathematics, ASCM 2007 ; Conference date: 15-12-2007 Through 17-12-2007",

}

Ahmad, RR, Rambely, AS & Lim, LH 2008, Solving biomechanical model using third-order runge-kutta methods. in Computer Mathematics: 8th Asian Symposium, ASCM 2007, Singapore, December 15-17, 2007, Revised and Invited Papers. Lecture Notes in Computer Science, vol. 5081, Springer, pp. 163-168, 8th Asian Symposium on Computer Mathematics, ASCM 2007, Singapore, 15/12/07. https://doi.org/10.1007/978-3-540-87827-8_13

Solving biomechanical model using third-order runge-kutta methods. / Ahmad, R. R.; Rambely, A. S.; Lim, L. H.
Computer Mathematics: 8th Asian Symposium, ASCM 2007, Singapore, December 15-17, 2007, Revised and Invited Papers. Springer, 2008. p. 163-168 (Lecture Notes in Computer Science; Vol. 5081).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Solving biomechanical model using third-order runge-kutta methods

AU - Ahmad, R. R.

AU - Rambely, A. S.

AU - Lim, L. H.

PY - 2008/9/22

Y1 - 2008/9/22

N2 - 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.

AB - 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.

KW - Biomechanics problem

KW - Modified Runge- Kutta

KW - Runge-Kutta

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U2 - 10.1007/978-3-540-87827-8_13

DO - 10.1007/978-3-540-87827-8_13

M3 - Conference contribution

AN - SCOPUS:55249119551

SN - 3540878262

SN - 9783540878261

T3 - Lecture Notes in Computer Science

SP - 163

EP - 168

BT - Computer Mathematics

PB - Springer

T2 - 8th Asian Symposium on Computer Mathematics, ASCM 2007

Y2 - 15 December 2007 through 17 December 2007

ER -

Solving biomechanical model using third-order runge-kutta methods

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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