Haar wavelet iteration method for solving time fractional Fisher's equation

In this work, we investigate fractional version of the Fisher equation and solve it by using an efficient iteration technique based on the Haar wavelet operational matrices. In fact, we convert the nonlinear equation into a Sylvester equation by the Haar wavelet collocation iteration method (HWCIM) to obtain the solution. We provide four numerical examples to illustrate the simplicity and efficiency of the technique.

Keywords:

fractional differential equation , Haar wavelet , Operational matrices , Numerical solution , iterative technique , Sylvester equation