A second-order stabilization method for linearizing and decoupling nonlinear parabolic systems

BUYANG LI, YUKI UEDA, GUANYU ZHOU*

*この研究の対応する著者

研究成果: Article査読

抄録

A new time discretization method for strongly nonlinear parabolic systems is constructed by combining the fully explicit two-step backward difference formula and a second-order stabilization of wave type. The proposed method linearizes and decouples a nonlinear parabolic system at every time level, with second-order consistency error. The convergence of the proposed method is proved by combining energy estimates for evolution equations of parabolic and wave types with the generating function technique that is popular in studying ordinary differential equations. Several numerical examples are provided to support the theoretical result.

本文言語English
ページ(範囲)2736-2763
ページ数28
ジャーナルSIAM Journal on Numerical Analysis
58
5
DOI
出版ステータスPublished - 2020

ASJC Scopus subject areas

  • 数値解析
  • 計算数学
  • 応用数学

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