Numerical solution for generalized fractional Huxley equation by using two dimensional Haar wavelet method

Abstract EN

In this paper, we apply the two dimensional Haar Wavelet method to compute the numerical solutions of the generalized fractional Huxley equation.

We present a technique to treat the nonlinear term in the equation based on the block pulse functions.

The main feature of two methods is converting the generalized fractional Huxley equation to a system of nonlinear algebraic equations, which can be solved by using any computer software like Matlab.

The results of comparison the numerical solution with the exact solution show that the proposed method is effective, simple, having low computation costs and the accuracy of the solution is quite high even in the case of a little number of collocation points.