NUMERICAL SOLUTION OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS USING HAAR WAVELET COLLOCATION METHOD

Abstract

Recently, wavelets are playing a very important role in the numerical analysis. In this paper, an investigation is made for numerical solution of a class of nonlinear fractional differential equations (FDEs) with error analysis using Haar wavelet collocation method. The proposed method is illustrated through presenting different kinds of FDEs, which gives the approximate solution and is in good agreement with the exact solution than the traditional numerical methods. The error will be reduced by increasing the number of collocation points and is justified through the illustrative examples.