A wavelet operational matrix method for solving initial - boundary value problems for fractional partial differential equations

Abstract

A fractional partial differential equation (FPDE) is a partial differential equation which involves fractional calculus operators. In this paper, the numerical solutions of Initial - Boundary value problems for FPDEs have been approximated using Haar wavelet operational matrix method. The FPDEs are reduced into simple algebraic equations which can be solved easily by computer aided techniques. The simplicity and effectiveness of the proposed method are illustrated by providing several examples with numerical simulations.