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.
关键词
多项时间分数阶混合扩散-波动方程/交替方向隐式法/有限差分法
Key words
multi-term time fractional mixed diffusion-wave equations/alternating direction implicit method/finite difference method