A Hahn computational operational method for variable order fractional mobile-immobile advection-dispersion equation

DOI10.1007/s40096-018-0248-2zbMath1417.65179OpenAlexW2792071471MaRDI QIDQ1991989

Mahmood Mohseni Moghadam, Habibollah Saeedi, Farideh Salehi

Publication date: 2 November 2018

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-018-0248-2

zbMATH Keywords

Hahn polynomialsmobile-immobile advection-dispersion equationoperational matrix methodvariable order fractional derivatives

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (10)

Orthonormal shifted discrete Chebyshev polynomials: application for a fractal-fractional version of the coupled Schrödinger-Boussinesq system ⋮ An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation ⋮ A fast Fourier spectral exponential time-differencing method for solving the time-fractional mobile-immobile advection-dispersion equation ⋮ Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher-Kolmogorov equation ⋮ Chebyshev spectral method for the variable-order fractional mobile-immobile advection-dispersion equation arising from solute transport in heterogeneous media ⋮ Orthonormal discrete Legendre polynomials for nonlinear reaction‐diffusion equations with ABC fractional derivative and non‐local boundary conditions ⋮ Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation ⋮ Numerical study of the variable-order time-fractional mobile/immobile advection-diffusion equation using direct meshless local Petrov-Galerkin methods ⋮ Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations ⋮ Discrete Hahn polynomials for numerical solution of two-dimensional variable-order fractional Rayleigh-Stokes problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution for the variable order linear cable equation with Bernstein polynomials
• A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
• Numerical algorithm for the variable-order Caputo fractional functional differential equation
• A finite difference technique for solving variable-order fractional integro-differential equations
• Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
• The linear B-spline scaling function operational matrix of fractional integration and its applications in solving fractional-order differential equations
• A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
• A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
• Application of homotopy perturbation and variational iteration methods for Fredholm integrodifferential equation of fractional order
• Solution existence for non-autonomous variable-order fractional differential equations
• A numerical method for solving the time variable fractional order mobile-immobile advection-dispersion model
• Control of damping oscillations by fractional differential operator with time-dependent order
• An operational Haar wavelet method for solving fractional Volterra integral equations
• Applied Linear Algebra and Matrix Analysis
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Mechanics with variable-order differential operators
• Application of modal filtering to a spectral difference method
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• Integration and differentiation to a variable fractional order
• A new method based on legendre polynomials for solution of system of fractional order partial differential equations
• Quartic and pantic B-spline operational matrix of fractional integration
• Jacobi Spectral Collocation Method for the Time Variable-Order Fractional Mobile-Immobile Advection-Dispersion Solute Transport Model
• Numerical solution of fractional delay differential equation by shifted Jacobi polynomials

This page was built for publication: A Hahn computational operational method for variable order fractional mobile-immobile advection-dispersion equation