标题：Finite difference spectral approximation for the time-space fractional telegraph equation and its parameter estimation
作者：Yang, Xiu; Jiang, Xiaoyun; Zhang, Hui
作者机构：[Yang, Xiu; Jiang, Xiaoyun; Zhang, Hui] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
通讯作者地址：[Jiang, XY]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源：MATHEMATICAL METHODS IN THE APPLIED SCIENCES
关键词：Fourier spectral method; Levenberg-Marquardt method; parameter; estimation; stability and convergence; time-space fractional telegraph; equation
摘要：The object of this paper is to present the numerical solution of the time-space fractional telegraph equation. The proposed method is based on the finite difference scheme in temporal direction and Fourier spectral method in spatial direction. The fast Fourier transform (FFT) technique is applied to practical computation. The stability and convergence analysis are strictly proven, which shows that this method is stable and convergent with (2-alpha) order accuracy in time and spectral accuracy in space. Moreover, the Levenberg-Marquardt (L-M) iterative method is employed for the parameter estimation. Finally, some numerical examples are given to confirm the theoretical analysis.