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math.NA2016★ 9 cited
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…
math.NA2016★ 12 cited
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…