Affiliation of Author(s):数学学院

Journal:Journal of Scientific Computing

Key Words:The two-dimensional fractional cable equation; Finite difference; Stability and convergence; Inverse problem; Fractional sensitivity equation

Abstract:In this paper, the two-dimensional fractional cable equation is considered, an efficient numerical method to obtain the identification of the fractional derivatives is investigated. Concerning the numerical treatment of the two-dimensional fractional cable equation, a fourth-order compact finite difference method is proposed, the stability and convergence of the compact difference method are discussed rigorously by means of the Fourier method. For the inverse problem of the identification of the fractional derivatives, Levenberg-Marquardt iterative method is employed, and the fractional sensitivity equation is obtained by means of the digamma function. Finally, numerical examples are presented to show the effectiveness of the proposed numerical method.

First Author:yubo

Indexed by:Unit Twenty Basic Research

Correspondence Author:Jiang Xiaoyun

Document Code:B820A47C831B4524833FB0CC78FE61C5

Discipline:Natural Science

First-Level Discipline:Mathematics

Volume:68

Issue:1

Page Number:252-272

Translation or Not:no

Date of Publication:2016-07-01

Included Journals:SCI