A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein-Gordon equation
Numerical Analysis
2011-12-22 v1 Mathematical Physics
math.MP
Classical Physics
Computational Physics
Abstract
In this paper we develop a finite-difference scheme to approximate radially symmetric solutions of the initial-value problem with smooth initial conditions in an open sphere around the origin, where the internal and external damping coefficients are constant, and the nonlinear term follows a power law. We prove that our scheme is consistent of second order when the nonlinearity is identically equal to zero, and provide a necessary condition for it to be stable order n. Part of our study will be devoted to compare the physical effects of the damping coefficients.
Cite
@article{arxiv.1112.4921,
title = {A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein-Gordon equation},
author = {J. E. Macías-Díaz and A. Puri},
journal= {arXiv preprint arXiv:1112.4921},
year = {2011}
}