Discontinuous Petrov-Galerkin and Bernstein-Legendre Polynomials Method for Solving Fractional Damped Heat- and Wave-like Equations

In this article we study the operational matrices of Bernstein-Legendre polynomials and the discontinuous Petrov-Galerkin (DPG) for the numerical solution of fractional damped heat- and wave-like equations.We denote this new method by DPGBL. Numerical examples are considered that aim to demonstrate the validity and applicability of the proposed technique.

fractional damped heat- and wave-like equations; discontinuous Petrov Galerkin; Bernstein polynomials; operational matrix