Haar wavelet technique for solving fractional differential equations with an application

Abstract

In this article, the numerical solutions of ordinary differential equations of fractional order (FrDEs) using Haar wavelet have been discussed. Haar wavelet technique is used to approximate the solution of the Lane-Emden of fractional-order. The results are compared with the results obtained by the collection method. Special Lane-Emden equation is solved to show the applicability and efficacy of the Haar wavelet method. The numerical results have clearly shown the advantage and the efficiency of the new method in terms of accuracy and computational time.