Third-order harmonic mean Runge-Kutta formulae for solving ordinary differential equations
The conventional arithmetic mean used in the formulation of the new Runge–Kutta method has resulted in the introduction of a number of new formulae for the numerical solution of ordinary differential equations. This study discusses the derivation of a third-order Runge- Kutta method using the har...
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Penerbit Universiti Kebangsaan Malaysia
2010
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| Online Access: | http://journalarticle.ukm.my/1966/ http://journalarticle.ukm.my/1966/ |
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ukm-1966 |
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eprints |
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ukm-19662011-06-21T03:32:11Z http://journalarticle.ukm.my/1966/ Third-order harmonic mean Runge-Kutta formulae for solving ordinary differential equations Rokiah @ Rozita Ahmad, Osama Yusuf Ababneh, Eddie Shahril Ismail, The conventional arithmetic mean used in the formulation of the new Runge–Kutta method has resulted in the introduction of a number of new formulae for the numerical solution of ordinary differential equations. This study discusses the derivation of a third-order Runge- Kutta method using the harmonic mean averaging of the functional values. The accuracy of these new Runge-Kutta formulae is numerically tested and the stability is examined Penerbit Universiti Kebangsaan Malaysia 2010-07 Article PeerReviewed Rokiah @ Rozita Ahmad, and Osama Yusuf Ababneh, and Eddie Shahril Ismail, (2010) Third-order harmonic mean Runge-Kutta formulae for solving ordinary differential equations. Journal of Quality Measurement and Analysis, 6 (1). pp. 95-104. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Kebangasaan Malaysia |
| building |
UKM Institutional Repository |
| collection |
Online Access |
| description |
The conventional arithmetic mean used in the formulation of the new Runge–Kutta method
has resulted in the introduction of a number of new formulae for the numerical solution of
ordinary differential equations. This study discusses the derivation of a third-order Runge-
Kutta method using the harmonic mean averaging of the functional values. The accuracy of
these new Runge-Kutta formulae is numerically tested and the stability is examined |
| format |
Article |
| author |
Rokiah @ Rozita Ahmad, Osama Yusuf Ababneh, Eddie Shahril Ismail, |
| spellingShingle |
Rokiah @ Rozita Ahmad, Osama Yusuf Ababneh, Eddie Shahril Ismail, Third-order harmonic mean Runge-Kutta formulae for solving ordinary differential equations |
| author_facet |
Rokiah @ Rozita Ahmad, Osama Yusuf Ababneh, Eddie Shahril Ismail, |
| author_sort |
Rokiah @ Rozita Ahmad, |
| title |
Third-order harmonic mean Runge-Kutta formulae
for solving ordinary differential equations
|
| title_short |
Third-order harmonic mean Runge-Kutta formulae
for solving ordinary differential equations
|
| title_full |
Third-order harmonic mean Runge-Kutta formulae
for solving ordinary differential equations
|
| title_fullStr |
Third-order harmonic mean Runge-Kutta formulae
for solving ordinary differential equations
|
| title_full_unstemmed |
Third-order harmonic mean Runge-Kutta formulae
for solving ordinary differential equations
|
| title_sort |
third-order harmonic mean runge-kutta formulae
for solving ordinary differential equations |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| publishDate |
2010 |
| url |
http://journalarticle.ukm.my/1966/ http://journalarticle.ukm.my/1966/ |
| first_indexed |
2023-09-18T19:34:51Z |
| last_indexed |
2023-09-18T19:34:51Z |
| _version_ |
1777405202857459712 |