[PDF][PDF] Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model

MA Abdelkawy, MA Zaky, AH Bhrawy, D Baleanu - Rom. Rep. Phys, 2015 - rrp.nipne.ro
This paper reports a novel numerical technique for solving the time variable fractional order
mobile-immobile advection-dispersion (TVFO-MIAD) model with the Coimbra variable time …

[HTML][HTML] Spectral collocation method for linear fractional integro-differential equations

X Ma, C Huang - Applied Mathematical Modelling, 2014 - Elsevier
In this paper, we propose and analyze a spectral Jacobi-collocation method for the
numerical solution of general linear fractional integro-differential equations. The fractional …

Un nouveau champ de recherche

M Mohammed* - Sociologie, 2014 - cairn.info
Alors qu'elle n'en est qu'à ses balbutiements en France, la sociologie de l'islamophobie se
développe rapidement, depuis environ une décennie, dans de nombreuses universités …

New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions

AH Bhrawy, YA Alhamed, D Baleanu… - Fractional Calculus and …, 2014 - Springer
Fractional-order generalized Laguerre functions (FGLFs) are proposed depends on the
definition of generalized Laguerre polynomials. In addition, we derive a new formula …

A spectral Legendre–Gauss–Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients

AH Bhrawy, D Baleanu - Reports on Mathematical Physics, 2013 - Elsevier
An efficient Legendre–Gauss–Lobatto collocation (L–GL–C) method is applied to solve the
space-fractional advection diffusion equation with nonhomogeneous initial-boundary …

Jacobi–Gauss–Lobatto collocation method for the numerical solution of 1+ 1 nonlinear Schrödinger equations

EH Doha, AH Bhrawy, MA Abdelkawy… - Journal of …, 2014 - Elsevier
Abstract A Jacobi–Gauss–Lobatto collocation (J-GL-C) method, used in combination with
the implicit Runge–Kutta method of fourth order, is proposed as a numerical algorithm for the …

Approximate solution of two-dimensional Sobolev equation using a mixed Lucas and Fibonacci polynomials

S Haq, I Ali - Engineering with Computers, 2022 - Springer
A numerical scheme based on polynomials and finite difference method is developed for
numerical solutions of two-dimensional linear and nonlinear Sobolev equations. In this …

Spectral‐Collocation Methods for Fractional Pantograph Delay‐Integrodifferential Equations

Y Yang, Y Huang - Advances in Mathematical Physics, 2013 - Wiley Online Library
We propose and analyze a spectral Jacobi‐collocation approximation for fractional order
integrodifferential equations of Volterra type with pantograph delay. The fractional derivative …

[PDF][PDF] Solving fractional integro-differential equations by using Sumudu transform method and Hermite spectral collocation method

YA Amer, AMS Mahdy, ESM Youssef - Computers, Materials and Continua, 2018 - tu.edu.sa
In this paper we are looking forward to finding the approximate analytical solutions for
fractional integro-differential equations by using Sumudu transform method and Hermite …

On shifted Jacobi spectral approximations for solving fractional differential equations

EH Doha, AH Bhrawy, D Baleanu… - Applied Mathematics and …, 2013 - Elsevier
In this paper, a new formula of Caputo fractional-order derivatives of shifted Jacobi
polynomials of any degree in terms of shifted Jacobi polynomials themselves is proved. We …