Haar wavelet technique for solving fractional differential equations with an application

الملخص EN

In this article, the approxmated solutions of ordinary differential equations of fractional order using Haar wavelet and B-spline bases are introduced.

The algorithm of collection method is updated using two basis.

Several initial value problems has been solved to show the applicability and efficacy of the Haar wavelet and B-spline basis.

An application of Lane-Eman equation has been introduced and studied.

The approximated results have clearly shown the advantage and the efficiency of the modified method in terms of accuracy and computational time.