NUMERICAL METHODS FOR APPROXIMATING STOCHASTIC SEMILINEAR TIME-FRACTIONAL RAYLEIGH-STOKES EQUATIONS  

作　　者：Mariam Al-Maskari 

机构地区：[1]Department of Mathematics,Sultan Qaboos University,Muscat,Oman

出　　处：《Journal of Computational Mathematics》2025年第3期569-587,共19页计算数学(英文)

摘　　要：This paper investigates a semilinear stochastic fractional Rayleigh-Stokes equation featuring a Riemann-Liouville fractional derivative of orderα∈(0,1)in time and a fractional time-integral noise.The study begins with an examination of the solution’s existence,uniqueness,and regularity.The spatial discretization is then carried out using a finite element method,and the error estimate is analyzed.A convolution quadrature method generated by the backward Euler method is employed for the time discretization resulting in a fully discrete scheme.The error estimate for the fully discrete solution is considered based on the regularity of the solution,and a strong convergence rate is established.The paper concludes with numerical tests to validate the theoretical findings.

关 键 词：Riemann-Liouville fractional derivative Stochastic Rayleigh-Stokes equation Finite element method Convolution quadrature Error estimates 

分 类 号：O241.82[理学—计算数学]