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 established. The obtained theoretical results are illustrated by a numerical example.
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| Date: | 2012 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Український математичний журнал
2012
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/165245 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | FD-method for solving the nonlinear Klein–Gordon equation / V.L. Makarov, D.V. Dragunov, D.A. Sember // Український математичний журнал. — 2012. — Т. 64, № 10. — С. 1394-1415. — Бібліогр.: 40 назв. — англ. |