A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo

Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CMDE-4-2_002

تاریخ نمایه سازی: 15 اسفند 1401

Abstract:

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.

Authors

Sedighe Toubaei

Islamic Azad University, Ahvaz Branch, Ahvaz, Iran

Morteza Garshasbi

Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

Mehdi Jalalvand

Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran