Numerical method for solving fractional advection-diffusion-wave model

Fractional derivative operator is a useful theoretical discipline that is used by some of mathematicians for modeling and simulating many systems and processors based on the description of theirproperties.The main advantage of fractional derivatives in comparison with classical models withinteger order is modeling many mechanical and electrical phenomena. One of these phenomena is the time fractional advection-diffusion-wave equation model (TFADE). In this paper this model with damping with index < γ < is considered. By using the implicit numerical method, TFADE model convergence is achieved considerably, That finally two numerical examples are expressed

کلیدواژه ها:

Fractional differential equation ، Fractional advection diffusion-wave ، Implicit numerical method ، Stability ، Convergence