• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Dai, H. (Dai, H..) | Huang, Q. (Huang, Q..) | Wang, C. (Wang, C..)

Indexed by:

Scopus SCIE

Abstract:

In this paper, ETD3-Padé and ETD4-Padé Galerkin finite element methods are proposed and analyzed for nonlinear delayed convection-diffusion-reaction equations with Dirichlet boundary conditions. An ETD-based RK is used for time integration of the corresponding equation. To overcome a well-known difficulty of numerical instability associated with the computation of the exponential operator, the Padé approach is used for such an exponential operator approximation, which in turn leads to the corresponding ETD-Padé schemes. An unconditional L2 numerical stability is proved for the proposed numerical schemes, under a global Lipshitz continuity assumption. In addition, optimal rate error estimates are provided, which gives the convergence order of O(k3 + hr) (ETD3-Padé) or O(k4 + hr) (ETD4-Padé) in the L2 norm, respectively. Numerical experiments are presented to demonstrate the robustness of the proposed numerical schemes. © 2023 Global Science Press. All rights reserved.

Keyword:

Nonlinear delayed convection diffusion reaction equations error estimate L2 stability analysis Lipshitz continuity ETD-Padé scheme Convergence analysis

Author Community:

  • [ 1 ] [Dai H.]School of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Huang Q.]School of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, China
  • [ 3 ] [Wang C.]Department of Mathematics, University of Massachusetts, North Dartmouth, 02747, MA, United States

Reprint Author's Address:

Email:

Show more details

Related Keywords:

Source :

Journal of Computational Mathematics

ISSN: 0254-9409

Year: 2023

Issue: 3

Volume: 41

Page: 370-394

0 . 9 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:9

Cited Count:

WoS CC Cited Count: 11

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

Affiliated Colleges:

Online/Total:458/10580306
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.