Conforming finite element method for the time-fractional nonlinear stochastic fourth-order reaction diffusion equation

Xinfei Liu; Xiaoyuan Yang

doi:10.1002/num.23020

Conforming finite element method for the time-fractional nonlinear stochastic fourth-order reaction diffusion equation

Xinfei Liu
, Xiaoyuan Yang^*

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

The time-fractional nonlinear stochastic fourth-order reaction diffusion equation perturbed by the noise is paid close attention by the conforming finite element method in this paper. The semi- and fully discrete schemes are obtained. Further, the convergence orders of the semi- and fully discrete schemes in (Figure presented.) norm are given detailed proof. The numerical tests are gotten to verify the theoretical result.

源语言	英语
页（从-至）	3657-3676
页数	20
期刊	Numerical Methods for Partial Differential Equations
卷	39
期	5
DOI	https://doi.org/10.1002/num.23020
出版状态	已出版 - 9月 2023

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10.1002/num.23020

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title = "Conforming finite element method for the time-fractional nonlinear stochastic fourth-order reaction diffusion equation",

abstract = "The time-fractional nonlinear stochastic fourth-order reaction diffusion equation perturbed by the noise is paid close attention by the conforming finite element method in this paper. The semi- and fully discrete schemes are obtained. Further, the convergence orders of the semi- and fully discrete schemes in (Figure presented.) norm are given detailed proof. The numerical tests are gotten to verify the theoretical result.",

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AU - Yang, Xiaoyuan

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N2 - The time-fractional nonlinear stochastic fourth-order reaction diffusion equation perturbed by the noise is paid close attention by the conforming finite element method in this paper. The semi- and fully discrete schemes are obtained. Further, the convergence orders of the semi- and fully discrete schemes in (Figure presented.) norm are given detailed proof. The numerical tests are gotten to verify the theoretical result.

AB - The time-fractional nonlinear stochastic fourth-order reaction diffusion equation perturbed by the noise is paid close attention by the conforming finite element method in this paper. The semi- and fully discrete schemes are obtained. Further, the convergence orders of the semi- and fully discrete schemes in (Figure presented.) norm are given detailed proof. The numerical tests are gotten to verify the theoretical result.

KW - conforming finite element method

KW - error estimates

KW - time-fractional nonlinear stochastic fourth-order reaction diffusion equation

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U2 - 10.1002/num.23020

DO - 10.1002/num.23020

M3 - 文章

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JO - Numerical Methods for Partial Differential Equations

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Conforming finite element method for the time-fractional nonlinear stochastic fourth-order reaction diffusion equation

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