A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation-Reference-Cited by-同舟云学术

A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation

Published:2021-08-09 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Hu Shufang¹^ORCID,Qiu Wenlin²,Chen Hongbin¹

Affiliation:

1. Institute of Mathematics and Physics, College of Science , Central South University of Forestry and Technology , Changsha 410004 , Hunan , P. R. China

2. School of Mathematics and Statistics , Hunan Normal University , Changsha 410081 , Hunan , P. R. China

Abstract

Abstract A predictor–corrector compact finite difference scheme is proposed for a nonlinear partial integro-differential equation. In our method, the time direction is approximated by backward Euler scheme and the Riemann–Liouville (R–L) fractional integral term is treated by means of first order convolution quadrature suggested by Lubich. Meanwhile, a two-step predictor–corrector (P–C) algorithm called MacCormack method is used. A fully discrete scheme is constructed with space discretization by compact finite difference method. Numerical experiment presents the scheme is in good agreement with the theoretical analysis.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0245/pdf

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