An efficient Haar wavelet collocation method for the numerical solution of multi-term fractional differential equations

In the numerical analysis, Wavelets play an important role in the solution of differential equations. In this paper, we apply the Haar wavelet collocation method (HWCM) for solving multi-term fractional differential equations (FDEs) using the fractional order operational matrix of integration. The present study is illustrated by exploring different kinds of FDEs that gives the approximate solution is good agreement with the exact solution than the Haar wavelet-based method presented by Li and Zhao (Appl Math Comput 216:2276–2285, 2010 ) and other methods by Ford and Connolly (J Comput Appl Math 229:382–391, 2009 ), El-Sayed et al. (Appl Math Comput 60:788–797, 2010 ). The error will be reduced by increasing the number of collocation points, which has been justified through the examples.