Numerical analysis and simulation for a nonlinear wave equation

Abstract

In this work we study a nonlinear wave equation, depending on different norms of the initial conditions, has bounded solution for all t > 0 or 0 < t < T0 for some T0 > 0. We also prove that the solution may blow-up at T0. Proofs of some the analytical results listed are sketched or given. For approximate numerical solutions we use the finite element method… (More)
DOI: 10.1016/j.cam.2015.09.024

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Cite this paper

@article{Rincon2016NumericalAA, title={Numerical analysis and simulation for a nonlinear wave equation}, author={M. A. Rincon and N. P. Quintino}, journal={J. Computational Applied Mathematics}, year={2016}, volume={296}, pages={247-264} }