Approximation method in one boundary problem with partial derivatives
The possibility is studied of jointly applying the Laplace transform and the a-method of V. K. Dzyadyk to construct an approximate solution of a boundary value problem in the case of a linear partial differential equation with coefficients of polynomial-type, depending on one independent variable. T...
Збережено в:
| Дата: | 1990 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1990
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8842 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | The possibility is studied of jointly applying the Laplace transform and the a-method of V. K. Dzyadyk to construct an approximate solution of a boundary value problem in the case of a linear partial differential equation with coefficients of polynomial-type, depending on one independent variable. The existence and uniqueness is established of an approximate solution in the chosen form. An asymptotic evaluation of the approximation error is obtained.    |
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