An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid
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[1] Bangti Jin,et al. An analysis of the Rayleigh–Stokes problem for a generalized second-grade fluid , 2014, Numerische Mathematik.
[2] Bo Yu,et al. Analytical and numerical study of electroosmotic slip flows of fractional second grade fluids , 2017, Commun. Nonlinear Sci. Numer. Simul..
[3] Ali H. Bhrawy,et al. Shifted fractional-order Jacobi orthogonal functions: Application to a system of fractional differential equations , 2016 .
[4] Qingxia Liu,et al. Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative , 2009 .
[5] M. Zaky,et al. An improved collocation method for multi-dimensional spacetime variable-order fractional Schrdinger equations , 2017 .
[6] Ali H. Bhrawy,et al. Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations , 2017, Comput. Math. Appl..
[7] Elyas Shivanian,et al. Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives: a stable scheme based on spectral meshless radial point interpolation , 2017, Engineering with Computers.
[8] Dumitru Baleanu,et al. Uncertain viscoelastic models with fractional order: A new spectral tau method to study the numerical simulations of the solution , 2017, Commun. Nonlinear Sci. Numer. Simul..
[9] Mingyu Xu,et al. The impulsive motion of flat plate in a generalized second grade fluid , 2002 .
[10] Kumbakonam R. Rajagopal,et al. A note on unsteady unidirectional flows of a non-Newtonian fluid , 1982 .
[11] Chuanli Wang,et al. A Spectral Collocation Method for Nonlinear Fractional Boundary Value Problems with a Caputo Derivative , 2018, J. Sci. Comput..
[12] Zhiping Mao,et al. A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities , 2017, SIAM J. Sci. Comput..
[13] M. Al‐Smadi,et al. Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions , 2018 .
[14] George E. Karniadakis,et al. Exponentially accurate spectral and spectral element methods for fractional ODEs , 2014, J. Comput. Phys..
[15] Mehdi Dehghan,et al. A new operational matrix for solving fractional-order differential equations , 2010, Comput. Math. Appl..
[16] M. Zaky,et al. Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations , 2017 .
[17] Chun Yang,et al. Exact solutions for electro-osmotic flow of viscoelastic fluids in rectangular micro-channels , 2009, Appl. Math. Comput..
[18] M. Zaky. A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations , 2018 .
[19] Hassan Mohamed El-Hawary,et al. Fractional Laguerre spectral methods and their applications to fractional differential equations on unbounded domain , 2017, Int. J. Comput. Math..
[20] D. Vieru,et al. The Rayleigh–Stokes problem for an edge in a generalized Oldroyd-B fluid , 2009 .
[21] Mostafa Abbaszadeh,et al. Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives , 2013 .
[22] I. Turner,et al. A high-order spectral method for the multi-term time-fractional diffusion equations , 2016 .
[23] M. Zaky,et al. Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation , 2014, Nonlinear Dynamics.
[24] Changfeng Xue,et al. Exact solutions of the Rayleigh–Stokes problem for a heated generalized second grade fluid in a porous half-space , 2009 .
[25] Eric A. Butcher,et al. Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods , 2018 .
[26] José António Tenreiro Machado,et al. A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations , 2017, Comput. Math. Appl..
[27] Xiaojun Tang,et al. Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations , 2016, Commun. Nonlinear Sci. Numer. Simul..
[28] Y. Chen,et al. Numerical algorithm for solving the Stokes’ first problem for a heated generalized second grade fluid with fractional derivative , 2017, Numerical Algorithms.
[29] J. F. Alzaidy,et al. Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem , 2016 .
[30] J. A. Tenreiro Machado,et al. On the formulation and numerical simulation of distributed-order fractional optimal control problems , 2017, Commun. Nonlinear Sci. Numer. Simul..
[31] Ali H. Bhrawy,et al. A new operational approach for solving fractional variational problems depending on indefinite integrals , 2018, Commun. Nonlinear Sci. Numer. Simul..
[32] Jie Shen,et al. Generalized Jacobi functions and their applications to fractional differential equations , 2014, Math. Comput..
[33] Ali H. Bhrawy,et al. A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations , 2015, J. Comput. Phys..
[34] Chunhong Wu. Numerical solution for Stokes' first problem for a heated generalized second grade fluid with fractional derivative , 2009 .
[35] Yao-hua Zhao,et al. The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model , 2006 .
[36] P. Mokhtary,et al. Numerical analysis of an operational Jacobi Tau method for fractional weakly singular integro-differential equations , 2017 .
[37] Wei Jiang,et al. Numerical method for Stokes' first problem for a heated generalized second grade fluid with fractional derivative , 2011 .
[38] F. Mainardi. An historical perspective on fractional calculus in linear viscoelasticity , 2010, 1007.2959.
[39] Fawang Liu,et al. Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives , 2008, Appl. Math. Comput..
[40] Ali H. Bhrawy,et al. A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation , 2015, Numerical Algorithms.
[41] Omar Abu Arqub,et al. Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions , 2017, Comput. Math. Appl..
[42] Mehdi Dehghan,et al. Fractional spectral and pseudo-spectral methods in unbounded domains: Theory and applications , 2017, J. Comput. Phys..
[43] Mehdi Dehghan,et al. A finite element method for the numerical solution of Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives , 2017, Engineering with Computers.
[44] Xianjuan Li,et al. A Space-Time Spectral Method for the Time Fractional Diffusion Equation , 2009, SIAM J. Numer. Anal..
[45] George E. Karniadakis,et al. Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations , 2016, SIAM J. Sci. Comput..
[46] Boying Wu,et al. A space‐time spectral method for one‐dimensional time fractional convection diffusion equations , 2017 .