English

The FD-method for solving nonlinear Klein-Gordon equation

Numerical Analysis 2012-05-28 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1203.5979,
  title  = {The FD-method for solving nonlinear Klein-Gordon equation},
  author = {Volodymyr Makarov and Denis Dragunov and Dmytro Sember},
  journal= {arXiv preprint arXiv:1203.5979},
  year   = {2012}
}

Comments

20 pages

R2 v1 2026-06-21T20:40:35.970Z