An improved finite difference/finite element method for the fractional Rayleigh-Stokes problem with a nonlinear source term
type: Item
instance of: scholarly article
title: An improved finite difference/finite element method for the fractional Rayleigh-Stokes problem with a nonlinear source term
zbMATH Open document ID: 1481.76152
author: Zhen Guan
author: Xiaodong Wang
author: Jie Ouyang
published in: Journal of Applied Mathematics and Computing
publication date: 2021-11-29T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7435180
zbMATH Keywords: Oldroyd B fluid
zbMATH Keywords: fractional Rayleigh-Stokes problem
zbMATH Keywords: nonlinear source term
zbMATH Keywords: finite difference method
zbMATH Keywords: finite element method
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s12190-020-01399-4
OpenAlex ID: W3041253308
cites work: Applications of Fractional Calculus to the Theory of Viscoelasticity
cites work: Q5699297
cites work: Particle tracking for fractional diffusion with two time scales
cites work: Response of a diffusion‐wave system subjected to deterministic and stochastic fields
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Limit theorem for continuous-time random walks with two time scales
cites work: Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation
cites work: An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes’ First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative
cites work: The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
cites work: Exact solutions of Stokes' first problem for heated generalized Burgers' fluid in a porous half-space
cites work: Exact solutions of the Rayleigh-Stokes problem for a heated generalized second grade fluid in a porous half-space
cites work: New exact analytical solutions for Stokes first problem of Maxwell fluid with fractional derivative approach
cites work: A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative
cites work: Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives
cites work: Numerical solution for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative
cites work: Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives
cites work: An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
cites work: Numerical algorithm for solving the Stokes' first problem for a heated generalized second grade fluid with fractional derivative
cites work: Numerical approximation for MHD flows of generalized viscoelastic fluid
cites work: Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid
cites work: Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative
cites work: Galerkin Finite Element Methods for Parabolic Problems
cites work: Q4162607
cites work: Variational Problems in Domains with Cusp-Points and the Finite Element Method
cites work: Some temporal second order difference schemes for fractional wave equations
cites work: Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence
cites work: Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
cites work: A class of second order difference approximations for solving space fractional diffusion equations
cites work: Improved efficient difference method for the modified anomalous sub-diffusion equation with a nonlinear source term
cites work: Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
cites work: Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data
cites work: Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation
cites work: Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition
DOI: 10.1007/S12190-020-01399-4
description: scientific article; zbMATH DE number 7435180