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The space-time fractional diffusion-wave equation (FDWE) is a generalization of classical diffusion and wave equations which is used in modeling practical phenomena of diffusion and wave in fluid flow, oil strata and others. This paper reports an accurate spectral tau method for solving the two-sided space and time Caputo FDWE with various types of nonhomogeneous boundary conditions. The proposed...
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...
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