Error estimates of a semidiscrete finite element method for fractional stochastic diffusion-wave equations

被引：19
作者：
Zou, Guang-an [1 ]
Atangana, Abdon [2 ]
Zhou, Yong [3 ,4 ]
机构：
[1] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China
[2] Univ Free State, Fac Nat & Agr Sci, ZA-9300 Bloemfontein, South Africa
[3] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
[4] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 34卷 / 05期
基金：
中国国家自然科学基金;
关键词：
error estimates; finite element method; fractional calculus; stochastic diffusion-wave equations; DIFFERENTIAL-EQUATIONS; FUNDAMENTAL-SOLUTIONS; DERIVATIVE DRIVEN; SUBDIFFUSION; EXISTENCE;
D O I：
10.1002/num.22252
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Galerkin finite element method for solving the fractional stochastic diffusion-wave equations driven by multiplicative noise, which can be used to describe the propagation of mechanical waves in viscoelastic media with random effects. The optimal strong convergence error estimates with respect to the semidiscrete finite element approximation in space are established. Finally, a numerical example is presented to verify the reliability of the theoretical study.
引用
收藏
页码：1834 / 1848
页数：15
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