An approximate solution based on Jacobi polynomials for time-fractional convection-diffusion equation
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Publication:1734739
DOI10.1016/j.amc.2016.09.028zbMath1411.35270OpenAlexW2536545737MaRDI QIDQ1734739
A. Sazmand, Mahmoud Behroozifar
Publication date: 27 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.09.028
Reaction-diffusion equations (35K57) Neural biology (92C20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
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- 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
- An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations
- The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics
- Homotopy analysis method for higher-order fractional integro-differential equations
- Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation
- A new Jacobi operational matrix: an application for solving fractional differential equations
- Homotopy analysis method for fractional IVPs
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- An algorithm for solving the fractional convection-diffusion equation with nonlinear source term
- A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
- A new operational matrix for solving fractional-order differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Long memory processes and fractional integration in econometrics
- Exact solutions of multi-term fractional diffusion-wave equations with Robin type boundary conditions
- A fractional-order Jacobi Tau method for a class of time-fractional PDEs with variable coefficients
- Analytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
- Efficient Legendre spectral tau algorithm for solving the two-sided space–time Caputo fractional advection–dispersion equation
- Some noises withI/fspectrum, a bridge between direct current and white noise