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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| Format: | Article |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2010
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| Online Access: | http://journalarticle.ukm.my/1966/ http://www.ukm.my/~ppsmfst/jqma/index.html |
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| _version_ | 1831354399971082240 |
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| author | Rokiah @ Rozita Ahmad, Osama Yusuf Ababneh, Eddie Shahril Ismail, |
| author_facet | Rokiah @ Rozita Ahmad, Osama Yusuf Ababneh, Eddie Shahril Ismail, |
| author_sort | Rokiah @ Rozita Ahmad, |
| building | Tun Sri Lanang Library |
| collection | Institutional Repository |
| content_provider | Universiti Kebangsaan Malaysia |
| content_source | UKM Journal Article Repository |
| continent | Asia |
| country | Malaysia |
| 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 |
| id | my-ukm.journal-1966 |
| institution | Universiti Kebangsaan Malaysia |
| publishDate | 2010 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | eprints |
| spelling | my-ukm.journal-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 |
| spellingShingle | Rokiah @ Rozita Ahmad, Osama Yusuf Ababneh, Eddie Shahril Ismail, Third-order harmonic mean Runge-Kutta formulae for solving ordinary differential equations |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/1966/ http://www.ukm.my/~ppsmfst/jqma/index.html |
| url_provider | http://journalarticle.ukm.my/ |