Numerical method based on radial basis functions for solving reaction-diffusion equations

摘要

In this paper, we propose a numerical scheme to solve the time-dependent reaction-diffusion equations by using the meshfree method and approximating the solution using multiquadrics (MQ) Radial Basis Function (RBF). The scheme works in very similar fashion as finite difference methods. The results of numerical experiments are presented, and compared with analytical solutions to confirm the good accuracy of the presented scheme.