CAS Wavelet Function Method for Solving Abel Equations with Error Analysis

In this paper we use a computational method based on CAS wavelets for solving nonlinear fractional order Volterra integral equations. We solve particularly Abel equations. An operational matrix of fractional order integration for CAS wavelets is used. Block Pulse Functions (BPFs) and collocation method are employed to derive a general procedure for forming this matrix. The error analysis of proposed numerical scheme is studied theoretically. Finally, comparison of numerical results with exact solution are shown.

Keywords:

Abel integral equations , CAS wavelet , fractional order volterra integral equations , operational matrix , Error analysis