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math.NA2017
A direct discontinuous Galerkin method for fractional convection-diffusion and Schrödinger type equations
Tarek Aboelenen
A direct discontinuous Galerkin (DDG) finite element method is developed for solving fractional convection-diffusion and Schrödinger type equations with a fractional Laplacian oper…
math.NA2017
Local discontinuous Galerkin method for distributed-order time and space-fractional convection-diffusion and Schrödinger type equations
Tarek Aboelenen
Fractional partial differential equations with distributed-order fractional derivatives describe some important physical phenomena. In this paper, we propose a local discontinuous…
math.NA2017★ 30 cited
A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations
Tarek Aboelenen
We propose a nodal discontinuous Galerkin method for solving the nonlinear Riesz space fractional Schrödinger equation and the strongly coupled nonlinear Riesz space fractional Sch…