Affiliation of Author(s):数学学院

Journal:Mathematical methods in the applied sciences

Key Words:Fourier spectral method; Levenberg-Marquardt method; parameter estimation; stability and convergence; time-space fractional telegraph equation

Abstract: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.

All the Authors:zhanghui

First Author:杨秀

Indexed by:Unit Twenty Basic Research

Correspondence Author:Jiang Xiaoyun

Discipline:Natural Science

First-Level Discipline:Mathematics

Volume:42

Issue:18

Page Number:6475-6489

Translation or Not:no

Date of Publication:2019-12-01

Included Journals:SCI