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Combination Between Single Diagonal Implicit and Explicit Runge Kutta(SDIMEX-RK) Methods for solving stiff Differential equations | ||
| Tikrit Journal of Pure Science | ||
| Article 1, Volume 16, Issue 1, 2011, Pages 94-101 | ||
| Author | ||
| Younis Abid Hussein | ||
| Abstract | ||
| In this paper we constructed some single diagonal implicit -explicit Runge –Kutta methods SDIMEX-RK of orders ranging from 2 to 3 that may be used for solving stiff non linear systems of Odes. This method split in two methods, the first is single diagonal implicit Runge Kutta method which have -stable, and the second is explicit Runge Kutta method .The no stiff term is treated by explicit Runge Kutta method while stiff term is treated by single diagonal implicit method. These methods also are suitable for solving chemical reactions problems which contain stiff and non-stiff terms. We have used Matlab programs for solving the problem . | ||
| Keywords | ||
| Split methods; IMEX; RK methods | ||
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