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A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo | ||
| Computational Methods for Differential Equations | ||
| مقاله 2، دوره 4، شماره 2، تیر 2016، صفحه 116-127 اصل مقاله (393.76 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Sedighe Toubaei1؛ Morteza Garshasbi* 2؛ Mehdi Jalalvand3 | ||
| 1Islamic Azad University, Ahvaz Branch, Ahvaz, Iran | ||
| 2Department of Mathematics, Iran University of Science and Technology, Tehran, Iran | ||
| 3Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran | ||
| چکیده | ||
| In this work the mathematical model of a spatial pattern in chemical and biological systems is investigated numerically. The proposed model considered as a nonlinear reaction-diffusion equation. A computational approach based on finite difference and RBF-collocation methods is conducted to solve the equation with respect to the appropriate initial and boundary conditions. The ability and robustness of the numerical approach is investigated using two test problems. | ||
| کلیدواژهها | ||
| Reaction-diffusion؛ ecological systems؛ RBF collocation | ||
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