ADI Finite Difference Method for Multi-term Time Fractional Mixed Diffusion-Wave Equations
The alternating direction implicit(ADI)finite difference method is employed to investigate the numerical solutions of multi-term time fractional mixed diffusion-wave equations.In the time direction,the diffusion and wave terms are transformed into RL integral terms and approximated using specific formulas.The spatial direction is discretized using the central difference quotient of the second order,and the effectiveness of the difference scheme is confirmed through numerical examples.
multi-term time fractional mixed diffusion-wave equationsalternating direction implicit methodfinite difference method