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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| Main Authors: | , , |
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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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| Institution: | Universiti Kebangsaan Malaysia |
| Summary: | 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 |
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