Numerical solutions of the coupled nonlinear Klein--Gordon equations by trigonometric integrator pseudospectral discretization
Mathematical Physics
2015-03-19 v2 math.MP
Abstract
A scheme stemming from the use of pseudospectral approximations to spatial derivatives followed by a time integrator based on trigonometric polynomials is proposed for the numerical solutions of the coupled nonlinear Klein--Gordon equations. Numerical tests on one- and three-coupled Klein--Gordon equations are presented, which are geared towards understanding the accuracy and stability, and demonstrating the efficiency and high resolution capacity in application.
Keywords
Cite
@article{arxiv.1109.0765,
title = {Numerical solutions of the coupled nonlinear Klein--Gordon equations by trigonometric integrator pseudospectral discretization},
author = {Xuanchun Dong},
journal= {arXiv preprint arXiv:1109.0765},
year = {2015}
}