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Construction of Third-Order Diagonal Implicit Runge-Kutta Methods for Stiff Problems |
| Osama Yusuf Ababneh, Rokiah@Rozita Ahmad |
| School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia |
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| Cite this article: |
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Osama Yusuf Ababneh, Rokiah@Rozita Ahmad 2009 Chin. Phys. Lett. 26 080503 |
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Abstract We presents a new third-order diagonally implicit Runge-Kutta integration formula for stiff initial value problems, designed to be A-stable methods. The stability of the methods is analyzed and numerical results are shown to verify the conclusions.
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05.45.-a
05.10.-a
05.45.Pq
02.30.Hq
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Received: 12 December 2008
Published: 30 July 2009
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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02.30.Hq
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(Ordinary differential equations)
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[1] Lambert J D 1973 (New York: John Wiley \& Sons) chap 10 p821
[2] Ricchard C. Aiken 1985 Oxford university press chap3 p 35
[3] Evans D J and Sanugi B B 1986 L.U.T. Computer StudyReports p 281
[4] Wazwaz A M 1990 Appl. Math. Lett. 3 123
[5] Wolfram S 1991 2nd edn (Cambridge: Addison-Wesley)
[6] Butcher J C 1987 (New York: John Wiley \& Sons) chap 2 p35
[7] Cooper G J and Sayfy A 1979 Mathematics ofComputation 33 541 |
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