Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Ali H"'
Autor:
António M. Lopes, José António Tenreiro Machado, Ali H. Bhrawy, Mohamed A. Abdelkawy, Ahmed Z. M. Amin
Publikováno v:
International Journal of Nonlinear Sciences and Numerical Simulation. 18:411-425
This paper addresses the solution of one- and two-dimensional Volterra integral equations (VIEs) by means of the spectral collocation method. The novel technique takes advantage of the properties of shifted Jacobi polynomials and is applied for solvi
Publikováno v:
Acta Mathematicae Applicatae Sinica, English Series. 33:297-310
A new spectral Jacobi rational-Gauss collocation (JRC) method is proposed for solving the multi-pantograph delay differential equations on the half-line. The method is based on Jacobi rational functions and Gauss quadrature integration formula. The m
Publikováno v:
Nonlinear Dynamics. 84:1553-1567
In the present paper, we construct the numerical solution for time fractional (1 + 1)- and (1 + 2)-dimensional Schrodinger equations (TFSEs) subject to initial boundary. The solution is expanded in a series of shifted Jacobi polynomials in time and s
Autor:
Mahmoud A. Zaky, Ali H. Bhrawy
Publikováno v:
Applied Mathematical Modelling. 40:832-845
In this study, we propose shifted fractional-order Jacobi orthogonal functions (SFJFs) based on the definition of the classical Jacobi polynomials. We derive a new formula that explicitly expresses any Caputo fractional-order derivatives of SFJFs in
Autor:
Ali H. Bhrawy
Publikováno v:
Numerical Algorithms. 73:91-113
This article adapts an operational matrix formulation of the collocation method for the one- and two-dimensional nonlinear fractional sub-diffusion equations (FSDEs). In the proposed collocation approach, the double and triple shifted Jacobi polynomi
Publikováno v:
Journal of Computational Physics. 293:142-156
In this paper, an efficient and accurate spectral numerical method is presented for solving second-, fourth-order fractional diffusion-wave equations and fractional wave equations with damping. The proposed method is based on Jacobi tau spectral proc
Autor:
Ali H. Bhrawy, Mahmoud A. Zaky
Publikováno v:
Journal of Computational Physics. 281:876-895
In this paper, we propose and analyze an efficient operational formulation of spectral tau method for multi-term time-space fractional differential equation with Dirichlet boundary conditions. The shifted Jacobi operational matrices of Riemann-Liouvi
Autor:
Ali H. Bhrawy
Publikováno v:
Applied Mathematics and Computation. 247:30-46
In this paper, we derive an efficient spectral collocation algorithm to solve numerically the nonlinear complex generalized Zakharov system (GZS) subject to initial-boundary conditions. The Jacobi pseudospectral approximation is investigated for spat
Publikováno v:
Applied Numerical Mathematics. 77:43-54
This paper is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument. In this article, a new spectral collocation method is applied to solve the generalized p
Publikováno v:
Computational and Applied Mathematics. 33:607-619
We derive an operational matrix representation for the differentiation of Jacobi rational functions, which is used to create a new Jacobi rational pseudospectral method based on the operational matrix of Jacobi rational functions. This Jacobi rationa