4 papers
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…
A Fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives
Salman Jahanshahi, Esmail Babolian, Delfim F. M. Torres +1
We introduce an efficient algorithm for computing fractional integrals and derivatives and apply it for solving problems of the calculus of variations of fractional order. The prop…
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…