Shifted Jacobi collocation method for solving multi-dimensional fractional Stokes' first problem for a heated generalized second grade fluid

DOI10.1186/s13662-016-0845-zzbMath1419.76035OpenAlexW2342672375WikidataQ59464513 ScholiaQ59464513MaRDI QIDQ1796869

Rubayyi T. Alqahtani, Mohamed A. Abdelkawy

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0845-z

zbMATH Keywords

collocation methodspectral methodGauss-Lobatto quadratureGauss-Radau quadraturefractional order Stokes' first problem

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Viscoelastic fluids (76A10) Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (2)

Numerical method for solving two‐dimensional of the space and space–time fractional coupled reaction‐diffusion equations ⋮ Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system
• A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations
• New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
• A review of operational matrices and spectral techniques for fractional calculus
• A Jacobi Gauss-Lobatto and Gauss-Radau collocation algorithm for solving fractional Fokker-Planck equations
• A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations
• On the use of matrix functions for fractional partial differential equations
• Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
• On Stokes' problem for a non-Newtonian fluid
• The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
• A new exact solution for the flow of a Maxwell fluid past an infinite plate
• The first problem of Stokes for an Oldroyd-B fluid
• Stokes' first problem for a second grade fluid in a porous half-space with heated boundary
• Remarks on fractional derivatives
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the solution of an acoustic wave equation with variable-order derivative loss operator
• Solving a system of fractional partial differential equations arising in the model of HIV infection of \(\mathrm{CD4}^{+}\) cells and attractor one-dimensional Keller-Segel equations
• New spectral collocation algorithms for one- and two-dimensional Schrödinger equations with a Kerr law nonlinearity
• A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems
• Numerical solution of a class of functional-differential equations using Jacobi pseudospectral method
• Numerical solution for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative
• A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative
• Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives
• Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives
• Ein Ähnlichkeitsgesetz für Strömungen mit Relaxation. (A similarity law for flows with relaxation)
• A highly accurate Jacobi collocation algorithm for systems of high‐order linear differential–difference equations with mixed initial conditions
• Stokes’ first problem for an Oldroyd-B fluid in a porous half space
• Efficient Legendre spectral tau algorithm for solving the two-sided space–time Caputo fractional advection–dispersion equation
• Stokes' first problem for a Newtonian fluid in a non‐Darcian porous half‐space using a Laguerre–Galerkin method
• Spectral Methods
• On a class of exact solutions of the equations of motion of a second-grade fluid

This page was built for publication: Shifted Jacobi collocation method for solving multi-dimensional fractional Stokes' first problem for a heated generalized second grade fluid