Spectral and discontinuous spectral element methods for fractional delay equations
We first develop a spectrally accurate Petrov--Galerkin spectral method for fractional delay
differential equations (FDDEs). This scheme is developed based on a new spectral theory …
differential equations (FDDEs). This scheme is developed based on a new spectral theory …
Optimal error estimates of spectral Petrov--Galerkin and collocation methods for initial value problems of fractional differential equations
We present optimal error estimates for spectral Petrov--Galerkin methods and spectral
collocation methods for linear fractional ordinary differential equations with initial value on a …
collocation methods for linear fractional ordinary differential equations with initial value on a …
Numerical solution of unsteady state fractional advection–dispersion equation
N Abeye, M Ayalew, DL Suthar… - Arab Journal of Basic …, 2022 - Taylor & Francis
In this article, we find the numerical solution of unsteady state fractional order advection–
dispersion equation. For an approximate solution of the proposed problem, we apply …
dispersion equation. For an approximate solution of the proposed problem, we apply …
Numerical studies for solving fractional Riccati differential equation
In this paper, finite difference method (FDM) and Pade'-variational iteration method (Pade'-
VIM) are successfully implemented for solving the nonlinear fractional Riccati differential …
VIM) are successfully implemented for solving the nonlinear fractional Riccati differential …
A method for fractional Volterra integro-differential equations by Laguerre polynomials
D Varol Bayram, A Daşcıoğlu - Advances in Difference Equations, 2018 - Springer
The main purpose of this study is to present an approximation method based on the
Laguerre polynomials for fractional linear Volterra integro-differential equations. This …
Laguerre polynomials for fractional linear Volterra integro-differential equations. This …
The use of generalized Laguerre polynomials in spectral methods for solving fractional delay differential equations
MM Khader - Journal of computational and …, 2013 - asmedigitalcollection.asme.org
In this paper, an efficient numerical method for solving the fractional delay differential
equations (FDDEs) is considered. The fractional derivative is described in the Caputo sense …
equations (FDDEs) is considered. The fractional derivative is described in the Caputo sense …
Two-dimensional nonlinear time fractional reaction–diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media
In the present article, an efficient operational matrix based on the famous Laguerre
polynomials is applied for the numerical solution of two-dimensional non-linear time …
polynomials is applied for the numerical solution of two-dimensional non-linear time …
[PDF][PDF] Numerical solution of fractional integro-differential equations by least squares method and shifted Laguerre polynomials pseudo-spectral method
Numerical solution of fractional integro-di erential equations by least squares method and
shifted Laguerre polynomials pseudo-s Page 1 International Journal of Scientific & Engineering …
shifted Laguerre polynomials pseudo-s Page 1 International Journal of Scientific & Engineering …
An operational matrix for solving time-fractional order Cahn-Hilliard equation
In the present scientific work, an operational matrix scheme with Laguerre polynomials is
applied to solve a space-time fractional order non-linear Cahn-Hilliard equation, which is …
applied to solve a space-time fractional order non-linear Cahn-Hilliard equation, which is …
Spectral collocation method for multi-order fractional differential equations
In this paper, the spectral collocation method is investigated for the numerical solution of
multi-order Fractional Differential Equations (FDEs). We choose the orthogonal Jacobi …
multi-order Fractional Differential Equations (FDEs). We choose the orthogonal Jacobi …