Implicit difference methods for first order partial differential functional equations
We present a new class of numerical methods for quasilinear first order partial functional differential equations. The numerical methods are difference schemes which are implicit with respect to time variable. We give a complete convergence analysis for the methods and we show by an example that th...
Збережено в:
| Дата: | 2005 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2005
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/177887 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Implicit difference methods for first order partial differential functional equations / A. Kepczynska // Нелінійні коливання. — 2005. — Т. 8, № 2. — С. 201-215. — Бібліогр.: 11 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | We present a new class of numerical methods for quasilinear first order partial functional differential
equations. The numerical methods are difference schemes which are implicit with respect to time variable. We give a complete convergence analysis for the methods and we show by an example that the new
methods are considerably better than the explicit schemes. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type for given operators with respect to the functional
variable. |
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