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A combining method for the approximate solution of spatial segregation limit of reaction-diffusion systems | ||
| Computational Methods for Differential Equations | ||
| مقاله 7، دوره 9، شماره 2، تیر 2021، صفحه 410-426 اصل مقاله (964.62 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.29291.1412 | ||
| نویسندگان | ||
| Maryam Dehghan* ؛ Saeed Karimi Jafarbigloo | ||
| Department of Mathematics, Faculty of Sciences, Persian Gulf University, Bushehr 75169, Iran. | ||
| چکیده | ||
| In this paper, we concern ourselves with the study of a class of stationary states for reaction-diffusion systems with densities having disjoint supports. Major contribution of this work is computing the numerical solution of problem as the rate of interaction between two different species tend to infinity. The main difficulty is the nonlinearity nature of problem. To do so, an efficient iterative method is proposed by hybrid of the radial basis function (RBF) collocation and finite difference (FD) methods to approximate the solution. Numerical results with good accuracies are achieved where the shape parameter is carefully selected. Finally, some numerical examples are given to illustrate the good performance of the method. | ||
| کلیدواژهها | ||
| Free boundary problems؛ Two-phase membrane؛ One phase obstacle problem؛ Segregation؛ Finite difference method؛ Multiquadric radial basis functions | ||
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آمار تعداد مشاهده مقاله: 393 تعداد دریافت فایل اصل مقاله: 310 |
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