5 papers
The Legendre Spectral-Collocation method for a class of fractional integral equations
A. Yousefi, S. Javadi, E. Babolian
In this paper, we consider spectral-collocation method base on Legendre-Gauss-Lobatto point. We present a computational method for solving a class of fractional integral equation o…
Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations
A. Yousefi, S. Javadi, E. Babolian +1
In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is…
The convergence of operational Tau method for solving a class of nonlinear Fredholm fractional integro-differential equations on Legendre basis
A. Yousefi, E. Babolian, S. Javadi
In this paper, we investigate approximate solutions for nonlinear Fredholm integro-differential equations of fractional order. We present an operational Tau method by obtaining the…
Bernstein modal basis: application to the spectral Petrov-Galerkin method for fractional partial differential equations
Mostafa Jani, Esmail Babolian, Shahnam Javadi
In the spectral Petrov-Galerkin methods, the trial and test functions are required to satisfy particular boundary conditions. By a suitable linear combination of orthogonal polynom…
Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation
Mostafa Jani, Shahnam Javadi, Esmail Babolian +1
In this paper, we develop a Bernstein dual-Petrov-Galerkin method for the numerical simulation of a two-dimensional fractional diffusion equation. A spectral discretization is appl…