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
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Official URL: http://www.ukm.my/~ppsmfst/jqma/index.html
Abstract
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
| Item Type: | Article |
|---|---|
| Keywords: | ordinary differential equations; Runge–Kutta method; harmonic mean |
| Journal: | Journal of Quality Measurement and Analysis |
| ID Code: | 1966 |
| Deposited By: | Ms. Nor Ilya Othman |
| Deposited On: | 21 Jun 2011 03:32 |
| Last Modified: | 21 Jun 2011 03:32 |
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