A fast Fourier spectral exponential time-differencing method for solving the time-fractional mobile-immobile advection-dispersion equation
DOI10.1007/s40314-022-01970-8OpenAlexW4288696991WikidataQ115600683 ScholiaQ115600683MaRDI QIDQ2167411
Publication date: 25 August 2022
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-01970-8
Runge-Kutta methodCaputo derivativeadvection-dispersion equationtime-fractionalFourier spectral method
Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A physically based connection between fractional calculus and fractal geometry
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type.
- Exponential time differencing for stiff systems
- A new operational matrix for solving fractional-order differential equations
- Optimal error estimates of the Fourier spectral method for a class of nonlocal, nonlinear dispersive wave equations
- Solution of the Schrödinger equation by a spectral method
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Applications of semi-implicit Fourier-spectral method to phase field equations
- A Hahn computational operational method for variable order fractional mobile-immobile advection-dispersion equation
- A numerical solution strategy based on error analysis for time-fractional mobile/immobile transport model
- Hermite spectral method for Fokker-Planck-Landau equation modeling collisional plasma
- An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis
- An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels
- Approximation of the Boltzmann collision operator based on Hermite spectral method
- A high order formula to approximate the Caputo fractional derivative
- A numerical method for solving the time variable fractional order mobile-immobile advection-dispersion model
- Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis
- A semi-analytical Fourier spectral method for the Allen-Cahn equation
- Spectral Methods
- A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
- The Crank‐Nicolson/interpolating stabilized element‐free Galerkin method to investigate the fractional Galilei invariant advection‐diffusion equation
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Advances in Fractional Calculus
- Spectral Methods
This page was built for publication: A fast Fourier spectral exponential time-differencing method for solving the time-fractional mobile-immobile advection-dispersion equation
