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摘要
<jats:p>In this paper, we study a new numerical technique for a class of 2D nonlinear fractional diffusion-wave equations with the Caputo-type temporal derivative and Riesz-type spatial derivative. Galerkin finite element scheme is used for the discretization in the spatial direction, and the temporal component is discretized by a new alternating direction implicit (ADI) method. Next, we strictly prove that the numerical method is stable and convergent. Finally, to confirm our theoretical analysis, some numerical examples in 2D space are presented.</jats:p>
- 出版日期2017-9
- 单位华中科技大学
