Апроксимація розв’язку задачі Коші для параболічного рівняння з нелінійним потенціалом
The Cauchy problem for a quasilinear parabolic equation with local and nonlocal equation potential is considered. For equation of "reaction-diffusion" type with convex local potential the barrier functions, which are the upper and lower estimates of the solution of the Cauchy problem, are...
Збережено в:
| Дата: | 2012 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | rus |
| Опубліковано: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2012
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| Онлайн доступ: | http://journal.iasa.kpi.ua/article/view/60623 |
| Теги: |
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| Назва журналу: | System research and information technologies |
Репозиторії
System research and information technologies| Резюме: | The Cauchy problem for a quasilinear parabolic equation with local and nonlocal equation potential is considered. For equation of "reaction-diffusion" type with convex local potential the barrier functions, which are the upper and lower estimates of the solution of the Cauchy problem, are constructed. Method of construction of the mentioned barrier function is the composition of the two solutions of differential equations with nonlocal equations. For the equation with a nonlocal potential logistics properties, which are built in a similar way as the barrier function of the upper estimate, it is verified by computing experiment. |
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