Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model
type: Item
instance of: scholarly article
title: Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model
zbMATH Open document ID: 1428.76148
author: Jinghua Zhang
author: Fawang Liu
author: Zeng Lin
author: Vo V. Anh
published in: Applied Mathematics and Computation
publication date: 2019-11-29T00:00:00Z
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 7138596
zbMATH Keywords: multi-term time-fractional Burgers' fluid model
zbMATH Keywords: WSGD scheme
zbMATH Keywords: Legendre spectral method
zbMATH Keywords: CWSGD scheme
MaRDI profile type: Publication
full work available at URL: j.amc.2019.02.079
OpenAlex ID: W2935962121
cites work: Q4939496
cites work: Wave propagation in rods of Voigt material and visco-elastic materials with three-parameter models
cites work: Stokes' first problem for a Rivlin-Ericksen fluid of second grade in a porous half-space
cites work: On a new exact solution to Stokes' first problem for Maxwell fluids
cites work: Stokes' first problem for a second grade fluid in a porous half-space with heated boundary
cites work: Stokes’ first problem for an Oldroyd-B fluid in a porous half space
cites work: Stability analysis of a Maxwell fluid in a porous medium heated from below
cites work: Start-up flows of second grade fluids in domains with one finite dimension
cites work: A thermodynamic framework for rate-type fluid models
cites work: Thermal convective instability of viscoelastic fluids in a rotating porous layer heated from below
cites work: The effects of MHD flow and heat transfer for the UCM fluid over a stretching surface in presence of thermal radiation
cites work: A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
cites work: Decay of vortex velocity and diffusion of temperature in a generalized second-grade fluid
cites work: The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
cites work: Intermediate processes and critical phenomena: theory, method and progress of fractional operators and their applications to modern mechanics
cites work: Q3141902
cites work: Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
cites work: On accelerated flows of a viscoelastic fluid with the fractional Burgers' model
cites work: Some accelerated flows of generalized Oldroyd-B fluid between two side walls perpendicular to the plate
cites work: Unsteady helical flows of a generalized Oldroyd-B fluid
cites work: Some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
cites work: Numerical methods for solving the multi-term time-fractional wave-diffusion equation
cites work: A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
cites work: A novel finite volume method for the Riesz space distributed-order diffusion equation
cites work: Reproducing kernel particle method for two-dimensional time-space fractional diffusion equations in irregular domains
cites work: A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations
cites work: Unsteady flow of a second-grade fluid between two side walls perpendicular to a plate
cites work: Flow of a generalized second-grade fluid between two side walls perpendicular to a plate with a fractional derivative model
cites work: Flow of a Maxwell fluid between two side walls due to a suddenly moved plate
cites work: Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate
cites work: A note on longitudinal oscillations of a generalized Burgers fluid in cylindrical domains
cites work: Some helical flows of a Burgers fluid with fractional derivative
cites work: Some exact solutions for rotating flows of a generalized Burgers' fluid in cylindrical domains
cites work: Boundary particle method for Laplace transformed time fractional diffusion equations
cites work: Method of approximate particular solutions for constant- and variable-order fractional diffusion models
cites work: Fractional diffusion equations by the Kansa method
cites work: Exact solutions for some oscillating motions of a fractional Burgers' fluid
cites work: Unsteady flows of a viscoelastic fluid with the fractional Burgers' model
cites work: Generalized mittag-leffler function and generalized fractional calculus operators
cites work: An operational method for solving fractional differential equations with the Caputo derivatives
cites work: Q4233638
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation
cites work: A two-grid finite element approximation for a nonlinear time-fractional Cable equation
cites work: Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
cites work: Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
Wikidata QID: Q128149104
DOI: 10.1016/J.AMC.2019.02.079
description: scientific article; zbMATH DE number 7138596