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Third-order composite Runge-Kutta method for stiff problems

Ranji, Ahmad Rahbar and Yaacob, Nazeeruddin (2005) Third-order composite Runge-Kutta method for stiff problems. International Journal of Computer Mathematics, 82 . pp. 1221-1226. ISSN 00207160

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Official URL: http://dx.doi.org/10.1080/00207160512331331039


The derivation of a composite method for solving stiff ordinary differential equations is discussed. Combination of the harmonic and arithmetic means of the Runge-Kutta formulation has resulted in the introduction of a new formula for the numerical solution of stiff ordinary differential equations. The numerical results and the A-stability of this new formula are examined.

Item Type:Article
Uncontrolled Keywords:a-stability, arithmetic mean, harmonic mean, Runge-Kutta, stiff ODEs
Subjects:Q Science > Q Science (General)
Q Science > QA Mathematics
ID Code:12487
Deposited By: S.N.Shahira Dahari
Deposited On:02 Jun 2011 09:31
Last Modified:24 Oct 2017 07:41

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