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A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon | ||
| Computational Methods for Differential Equations | ||
| مقاله 9، دوره 6، شماره 1، فروردین 2018، صفحه 98-110 اصل مقاله (210.04 K) | ||
| نوع مقاله: Research Paper | ||
| نویسنده | ||
| Parastoo Reihani* | ||
| Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| چکیده | ||
| This paper deals with the numerical solution of a class of reaction diffusion equations arises from ecological phenomena. When two species are introduced into unoccupied habitat, they can spread across the environment as two travelling waves with the wave of the faster reproducer moving ahead of the slower.The mathematical modelling of invasions of species in more complex settings that include interactions between species may restricts to pairwise interactions. Three mathematical models of invasions of species in more complex settings that include interactions between species are introduced. For one of these models in general form a computational approach based on finite difference and RBF collocation method is established. To numerical solution first we discretize the proposed equations by using the forward difference rule for time derivatives and the well known Crank-Nicolson scheme for other terms between successive time levels. To verify the ability and robustness of the numerical approach, two test problems are investigated. | ||
| کلیدواژهها | ||
| Ecological phenomena؛ Reaction-diffusion؛ Invasion؛ RBF collocation؛ Finite differences method | ||
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آمار تعداد مشاهده مقاله: 718 تعداد دریافت فایل اصل مقاله: 685 |
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