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Optimization of solution stiff differential equations using MHAM and RSK methods | ||
Iranian Journal of Optimization | ||
مقاله 3، دوره 11، شماره 1، شهریور 2019، صفحه 17-21 اصل مقاله (1.24 M) | ||
نوع مقاله: Research Paper | ||
نویسنده | ||
Shadan Sadigh Behzadi* | ||
Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran | ||
چکیده | ||
In this paper, a nonlinear stiff differential equation is solved by using the Rosenbrock iterative method, modified homotpy analysis method and power series method. The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relations. Some numerical examples are studied to demonstrate the accuracy of the presented methods. | ||
کلیدواژهها | ||
Optimization؛ Stiff differential equations؛ Power series method؛ MHAM method؛ RSK method | ||
مراجع | ||
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Wanner, G., & Hairer, E. (1996) Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Equations. Springer-Verlag, Berlin. Zhao, J. J., Xu, Y., Dong, S. Y., & Liu, M. Z. (2005). Stability of the Rosenbrock methods for the neutral delay differential-algebraic equations. Applied mathematics and computation, 168(2), 1128-1144. | ||
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