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所属单位：数学学院

发表刊物：Mathematical methods in the applied sciences

关键字：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.

全部作者：张慧

第一作者：杨秀

论文类型：基础研究

通讯作者：蒋晓芸

学科门类：理学

一级学科：数学

卷号：42

期号：18

页面范围：6475-6489

是否译文：否

发表时间：2019-12-01

收录刊物：SCI