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Analysis of meshless local radial point interpolant on a model in population dynamics | ||
| Computational Methods for Differential Equations | ||
| مقاله 10، دوره 7، شماره 2، تیر 2019، صفحه 276-288 اصل مقاله (528.68 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Elyas Shivanian* 1؛ Hedayat Fatahi2 | ||
| 1Department of Applied Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran | ||
| 2Department of Mathematics, Baneh Branch, Islamic Azad University, Baneh, Iran | ||
| چکیده | ||
| In this work, we present an improvement of the spectral meshless radial point interpolation (SMRPI) method to uncover a simulation behaviour of the population dynamic model which mathematically is the nonlinear partial integro-differential equation. This PDE is a kind of competition strategy in which equivalent individuals match for the same supplies. oreover, this boundary value problem is a particular type of reaction-diffusion problem augmented to an integral term corresponding to the nonlocal consumption of resources. As a result of applying meshless method, it does not matter how the geometry of the domain is complicated because the method enjoys the element free adoption. Applying the SMRPI on the two-dimensional integral equation leads to a linear system of algebraic equations which is easy to treat. Finally, some numeric experiments are presented to show the reliable results. | ||
| کلیدواژهها | ||
| Spectral meshless radial point interpolation (SMRPI) method؛ Radial basis function؛ Partial integro-differential equation | ||
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