Affiliation of Author(s):数学学院

Journal:Journal of Computational and Applied Mathematics

Key Words:Inverse problem; Multi-term time fractional partial differential equation; Modified fractional predictor-corrector method; MH-NMSS-PSO algorithm; Experimental data; Numerical method

Abstract:In this paper, an inverse problem to identify parameters for the multi-term time fractional partial differential equation with Caputo fractional derivative is considered. The numerical solution of the direct problem is obtained by the modified fractional predictor-corrector method, while the inverse problem is conducted by the modified hybrid Nelder-Mead simplex search and particle swarm optimization (MI-I-NMSS-PSO) algorithm, which is expanded to estimate parameters for fractional differential equations. To verify the efficiency and accuracy of the proposed methods, three numerical examples with experimental data are conducted. Furthermore, in order to improve the practical significance of the research on inverse problems, the predictive value of parameter estimation is also testified. This paper provides effective numerical methods for parameter estimation in practical applications involving multi-term time fractional constitutive equations.

All the Authors:Ian Turner,蒋晓芸

First Author:范文萍

Indexed by:Unit Twenty Basic Research

Correspondence Author:刘发旺

Discipline:Natural Science

First-Level Discipline:Mathematics

Volume:336

Page Number:114-126

Translation or Not:no

Date of Publication:2018-07-01

Included Journals:SCI