A numerical method based on extended Raviart–Thomas (ER‐T) mixed finite element method for solving damped Boussinesq equation

M Parvizi, MR Eslahchi - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
Mathematical Methods in the Applied Sciences, 2017Wiley Online Library
In this paper, we present the approximate solution of damped Boussinesq equation using
extended Raviart–Thomas mixed finite element method. In this method, the numerical
solution of this equation is obtained using triangular meshes. Also, for discretization in time
direction, we use an implicit finite difference scheme. In addition, error estimation and
stability analysis of both methods are shown. Finally, some numerical examples are
considered to confirm the theoretical results. Copyright© 2017 John Wiley & Sons, Ltd.
In this paper, we present the approximate solution of damped Boussinesq equation using extended Raviart–Thomas mixed finite element method. In this method, the numerical solution of this equation is obtained using triangular meshes. Also, for discretization in time direction, we use an implicit finite difference scheme. In addition, error estimation and stability analysis of both methods are shown. Finally, some numerical examples are considered to confirm the theoretical results. Copyright © 2017 John Wiley & Sons, Ltd.
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