Chebyshev wavelet method (CWM) for the numerical solutions of fractional boundary value problems

Abstract

This research article, is concerned with the numerical solutions of fractional boundary value problems by using Chebyshev Wavelet Method (CWM).  Simulations based on (CWM), are better in terms of the numerical solutions of higher order boundary value problems.  The results obtained by the proposed method are compared with the results of Optimal Homotopy Asymptotic Method (OHAM), Modified Optimal Homotopy Asymptotic Method (MOHAM), Variation Iteration Method (VIM) and exact solutions of the problems.  By comparison, it is obvious that the current method improved the accuracy and is easy to implement.  The numerical solutions of some examples are discussed to show the suitability of (CWM).