Том 71
№ 1

All Issues

Dragunov D. V.

Articles: 1
Article (English)

FD-method for solving the nonlinear Klein - Gordon equation

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

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2012. - 64, № 10. - pp. 1394-1415

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.