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

Document Type : Research Paper

Authors

1 Islamic Azad University, Ahvaz Branch, Ahvaz, Iran

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

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

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.

Keywords

Computational Methods for Differential Equations
Volume 4, Issue 2 - Serial Number 2
April 2016
Pages 116-127

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History

  • Receive Date: 02 August 2016
  • Revise Date: 14 November 2016
  • Accept Date: 14 November 2016

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