时间分数阶非线性随机四阶反应扩散方程的一致性有限元方法

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Numerical Methods for Partial Differential Equations Pub Date : 2023-03-30 DOI:10.1002/num.23020

Xinfei Liu, Xiaoyuan Yang

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引用次数: 0

摘要

本文用拟合有限元法研究了受噪声扰动的时间分数阶非线性随机四阶反应扩散方程。得到了半离散格式和全离散格式。进一步给出了L2 $$ {L}^2 $$范数下半离散和完全离散格式的收敛阶。通过数值试验对理论结果进行了验证。

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

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 L2$$ {L}^2 $$ norm are given detailed proof. The numerical tests are gotten to verify the theoretical result.

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来源期刊

Numerical Methods for Partial Differential Equations 数学-应用数学

CiteScore

7.20

自引率

2.60%

发文量

审稿时长

9 months

期刊介绍： An international journal that aims to cover research into the development and analysis of new methods for the numerical solution of partial differential equations, it is intended that it be readily readable by and directed to a broad spectrum of researchers into numerical methods for partial differential equations throughout science and engineering. The numerical methods and techniques themselves are emphasized rather than the specific applications. The Journal seeks to be interdisciplinary, while retaining the common thread of applied numerical analysis.