Legendre collocation method for new generalized fractional advection-diffusion equation

Cites Work

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Numerical and analytical solutions of new generalized fractional diffusion equation
A new analysis for the Keller-Segel model of fractional order
Existence and uniqueness of the solution for a time-fractional diffusion equation with Robin boundary condition
ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations
High-order compact solution of the one-dimensional heat and advection-diffusion equations
Application of the generalized finite difference method to solve the advection-diffusion equation
A tau approach for solution of the space fractional diffusion equation
Evolution of conditional dispersal: a reaction-diffusion-advection model
The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Numerical treatment of the space fractional advection-dispersion model arising in groundwater hydrology
The uniform \(l^1\) long-time behavior of time discretization for time-fractional partial differential equations with nonsmooth data
A new operational matrix based on Müntz-Legendre polynomials for solving distributed order fractional differential equations
A simulation expressivity of the quenching phenomenon in a two-sided space-fractional diffusion equation
Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative
A numerical approach of fractional advection-diffusion equation with Atangana-Baleanu derivative
Finite difference scheme for a fractional telegraph equation with generalized fractional derivative terms
Convergence analysis of the space fractional-order diffusion equation based on the compact finite difference scheme
A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations
Numerical schemes with convergence for generalized fractional integro-differential equations
The OSC solver for the fourth-order sub-diffusion equation with weakly singular solutions
Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations
Some generalized fractional calculus operators and their applications in integral equations
A collocation method for fractional diffusion equation in a long time with Chebyshev functions
Finite difference approximations for two-sided space-fractional partial differential equations
A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation
An efficient ADI difference scheme for the nonlocal evolution problem in three-dimensional space
Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case
A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
A Petrov-Galerkin spectral method for fractional convection–diffusion equations with two-sided fractional derivative
Solving nonlinear fractional partial differential equations using the homotopy analysis method
Numerical scheme with convergence for a generalized time‐fractional Telegraph‐type equation
Advances in Fractional Calculus
Stochastic modeling of particle diffusion in a turbulent boundary layer
A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity