2 papers
math.NA2023
Rescaling method for blow-up solutions of nonlinear wave equations
Mondher Benjemaa, Aida Jrajria, Hatem Zaag
We develop a hybrid scheme based on a finite difference scheme and a rescaling technique to approximate the solution of nonlinear wave equation. In order to numerically reproduce t…
math.AP2020
Discontinuous Galerkin method for blow-up solutions of nonlinear 1D wave equations
Asma Azaiez, Mondher Benjemaa, Aida Jrajria +1
We develop and study a time-space discrete discontinuous Galerkin finite elements method to approximate the solution of one-dimensional nonlinear wave equations. We show that the n…