FD-method for solving the nonlinear Klein - Gordon equation

  • D. V. Dragunov
  • V. L. Makarov
  • D. A. Sember


We propose a functional-discrete method for solving the Goursat problem for the 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.
How to Cite
DragunovD. V., MakarovV. L., and SemberD. A. “FD-Method for Solving the Nonlinear Klein - Gordon Equation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 10, Oct. 2012, pp. 1394-15, http://umj.imath.kiev.ua/index.php/umj/article/view/2667.
Research articles