Journal of Computational and Applied Mathematics2022,Vol.41012.DOI:10.1016/j.cam.2022.114195

A weak Galerkin/finite difference method for time-fractional biharmonic problems in two dimensions

Yazdani, A. Momeni, H. Cheichan, M. S.
Journal of Computational and Applied Mathematics2022,Vol.41012.DOI:10.1016/j.cam.2022.114195

A weak Galerkin/finite difference method for time-fractional biharmonic problems in two dimensions

Yazdani, A. 1Momeni, H. 1Cheichan, M. S.2
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作者信息

  • 1. Univ Mazandaran
  • 2. Minist Educ
  • 折叠

Abstract

In this work, based on a finite difference scheme, we propose the weak Galerkin (WG) method for solving time-fractional biharmonic equations. Theoretically and numerically, the optimal error estimates for semi-discrete and fully discrete schemes have been investigated. Based on mathematical induction, stability is discussed for the fully discrete scheme that depends on the initial value and the source term. Numerical experiments are provided to confirm the theoretical claims made by the proposed schemes. (C)& nbsp;2022 Elsevier B.V. All rights reserved.

Key words

Weak Galerkin/Discrete weak differential operators/Fractional biharmonic partial differential/equation/Fully discrete and semi-discrete scheme/Stability/FINITE-ELEMENT-METHOD/APPROXIMATIONS/CONVERGENCE/EQUATION

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
参考文献量32
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