Block Pulse Operational Matrix Method for Solving FRACTIONAL DIFFUSION-WAVE EQUATION

In this paper, we first introduce two dimensional block pulse functions and the block pulse operational matrices of the fractional order integration. Also, the block pulse operational matrices of the fractional order differentiation are obtained. Then, we consider the computational method based on the above results for solving the fractional DIFFUSION-WAVE EQUATION. The error analysis of the method is given. The method is computationally attractive and applications are demonstrated by some numerical examples.