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^*

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	3657-3676
Number of pages	20
Journal	Numerical Methods for Partial Differential Equations
Volume	39
Issue number	5
DOIs	https://doi.org/10.1002/num.23020
State	Published - Sep 2023

Keywords

conforming finite element method
error estimates
time-fractional nonlinear stochastic fourth-order reaction diffusion equation

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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.",

keywords = "conforming finite element method, error estimates, time-fractional nonlinear stochastic fourth-order reaction diffusion equation",

author = "Xinfei Liu and Xiaoyuan Yang",

note = "Publisher Copyright: {\textcopyright} 2023 Wiley Periodicals LLC.",

year = "2023",

month = sep,

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AU - Liu, Xinfei

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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DO - 10.1002/num.23020

M3 - 文章

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JO - Numerical Methods for Partial Differential Equations

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IS - 5

ER -

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

Abstract

Keywords

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