A functional discrete method (FD-method) for solving the Cauchy problem for a nonlinear Klein–Gordon equation
DOI:
https://doi.org/10.15407/dopovidi2014.10.033Keywords:
Cauchy problem, nonlinear Klein–Gordon equationAbstract
We propose a functional-discrete method for solving the Cauchy problem for a nonlinear Klein–Gordon equation. Sufficient conditions for the superexponential convergence of this method are obtained. The obtained theoretical results are illustrated by a numerical example.
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