NUMERICAL SPECTRAL LEGENDRE APPROACH FOR SOLVING SPACE-TIME FRACTIONAL ADVECTION-DISPERSION PROBLEMS
DOI10.21608/JOMES.2018.9472zbMath1434.65202MaRDI QIDQ5217243
Nermeen A. Elkot, Eid H. Doha, Waleed M. Abd-Elhameed, Youssri H. Youssri
Publication date: 24 February 2020
Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)
Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical analysis of a new space-time variable fractional order advection-dispersion equation
- Space-fractional advection-dispersion equations by the Kansa method
- Finite difference approximations for the fractional advection-diffusion equation
- Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method
- Galerkin finite element approximation of symmetric space-fractional partial differential equations
- Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- A note on the finite element method for the space-fractional advection diffusion equation
- Adomian's decomposition method for solving an intermediate fractional advection-dispersion equation
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On Zeilberger's algorithm and its \(q\)-analogue
- Finite difference approximations for fractional advection-dispersion flow equations
- Numerical solution of fractional advection-diffusion equation with a nonlinear source term
- The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option
- An innovative harmonic numbers operational matrix method for solving initial value problems
- The fundamental solution of the space-time fractional advection-dispersion equation
- Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients
- On Solving Linear and Nonlinear Sixth-Order Two PointBoundary Value Problems Via an Elegant HarmonicNumbers Operational Matrix of Derivatives
- Approximate solutions of multi-order fractional advection-dispersion equation with non-polynomial conditions
- Analytical approximate solutions of Riesz fractional diffusion equation and Riesz fractional advection–dispersion equation involving nonlocal space fractional derivatives
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Efficient Legendre spectral tau algorithm for solving the two-sided space–time Caputo fractional advection–dispersion equation
- New Tchebyshev‐Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations
This page was built for publication: NUMERICAL SPECTRAL LEGENDRE APPROACH FOR SOLVING SPACE-TIME FRACTIONAL ADVECTION-DISPERSION PROBLEMS