FD-method for solving the nonlinear Klein - Gordon equation
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.
English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 10, pp 1586-1609.
Citation Example: Dragunov D. V., Makarov V. L., Sember D. A. FD-method for solving the nonlinear Klein - Gordon equation // Ukr. Mat. Zh. - 2012. - 64, № 10. - pp. 1394-1415.