A compact scheme for two-dimensional nonlinear time fractional wave equations  

作　　者：Guanghui Zhang Min Ren 

机构地区：[1]College of Mathematics and Statistics,Suzhou University Suzhou,Anhui 234000,P.R.China

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2021年第5期143-161,共19页建模、仿真和科学计算国际期刊（英文）

基　　金：This survey is supported by the National Natural Science Foundation of China(Grant No.11371029);the Quality Engineering Project of Colleges and Universities in Anhui Province(Grant No.2018kfk136).

摘　　要：Based on the equivalent integro-differential form of the considered problem, a numerical approach to solving the two-dimensional nonlinear time fractional wave equations(NTFWEs) is considered in this paper. To this end, an alternating direction implicit(ADI) numerical scheme is derived. The scheme is established by combining the secondorder convolution quadrature formula and Crank–Nicolson technique in time and afourth-order difference approach in space. The convergence and unconditional stability of the proposed compact ADI scheme are strictly discussed after a concise solvabilityanalysis. A numerical example is shown to demonstrate the theoretical analysis.

关 键 词：Two-dimensional nonlinear time fractional wave equations ADI scheme convergence 

分 类 号：O17[理学—数学]