Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations

摘要

We propose and analyze an efficient and accurate numerical method for solving the coupled nonlinear Klein-Gordon equations. The method is based on the application of a Gautschi-type exponential integrator in time combined with sine spectral discretization in space. The main results achieved in this paper are the rigorous error estimates in the energy space H-1 x H-1 for the proposed scheme. Numerical tests are reported and agree with the error estimates quite well. (C) 2015 Elsevier B.V. All rights reserved.