Solution of nonlinear fractional diffusion-wave equation by traingular functions

Abstract

In this paper, we propose new technique for solving fractional diffusion-wave equation. This algorithm is based on Triangular Function (TFs) methods, a new fractional operational matrix of integration for the TFs is derived. The TFs and their fractional operational matrix of integration are used to transform the problem under consideration into a linear system of algebraic equations. The new technique is applied to solving two mathematical models. We show that the present approach is relatively easy, efficient and highly accurate.