The FD-method for solving nonlinear Klein-Gordon equation

Details The FD-method for solving nonlinear Klein-Gordon equation The FD-method for solving nonlinear Klein-Gordon equation

2012-03-27

arxiv.org/abs/1203.5979v1

Mathematics

Numerical Analysis

20 pages

Scientific paper

In the paper we present a functional-discrete method for solving the Goursat
problem for nonlinear Klein-Gordon equation. The sufficient conditions
providing that the proposed method converges superexponentially are obtained.
The results of numerical example presented in the paper are in good agreement
with the theoretical conclusions.

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