Numerical treatment of a nonlinear hyperbolic equation | ASJP

Mediterranean Journal of Modeling and Simulation
Volume 7, Numéro 1, Pages 49-58
2017-03-30

Numerical Treatment Of A Nonlinear Hyperbolic Equation

Authors : Brik Nabiha . Chamekh Mourad .

Abstract

In this work we consider a nonlinear elliptic partial differential equation, which is derived from an application of a nonlinear Schrödinger equation. Using a variational approach on this problem leads to an optimization problem with a nonlinear constraint. A numerical solution based on finite-element method is used. We propose a new iterative algorithm to relax this problem to a quadratic version

Keywords

Nonlinear Schrödinger equation; Optimization; Finite element; Eigenvalue.

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