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

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

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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.

Weak GalerkinDiscrete weak differential operatorsFractional biharmonic partial differentialequationFully discrete and semi-discrete schemeStabilityFINITE-ELEMENT-METHODAPPROXIMATIONSCONVERGENCEEQUATION

Yazdani, A.、Momeni, H.、Cheichan, M. S.

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Univ Mazandaran

Minist Educ

2022

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
年,卷(期):2022.410
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