A recursion scheme for the fisher equation
Sitompul P.a, Gunawan H.a, Soeharyadi Y.a, Gunawan A.Y.a
a Faculty of Mathematics and Natural Sciences, ITB, Bandung, 40132, Indonesia
Abstract
© 2014 P. Sitompul, H. Gunawan,Y. Soeharyadi and A. Y. Gunawan.In this paper, a perturbation method is used to approximate solution of the Fisher equation, assuming diffusion as a disturbance factor in the logistic equation. Approximate solution obtained depends on the initial value of ψ and its derivatives. The method given good result for initial data ψ bounded away from zero. For initial data close to zero at some point x, we can improve it by doing recursion with respect to t. This method is tested on a sample and the results show that the approximate solution can be improved by doing recursion.
Author keywords
Indexed keywords
Fisher equation,Perturbation method,Recursion