Criterion of determination of order of Galerkin's approximation of decision of initially boundary value problems
A. V. Ankilov1, P. A. Velmisov2
| Annotation | On account of analysis of the functional of Lyapounov's type constructed for partial differential equation, describing of the plate free vibrations, the absolute and uniform convergence of the approximate decisions of this equations obtained by the Galerkin's method to the exact decision is proved. The criterion of determination of order of approximate decision for the finding of exact decision with given accuracy is obtained. The developed criterion is maybe used under constructing of the decisions of broad class of others linear partial differential equations. |
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| Keywords | dynamic stability; conditional stability; functional; partial differential equation. |
1Associate professor of Higher Mathematics Chair, Ulyanovsk State Technical University, Ulyanovsk; ankil@ulstu.ru.
2Professor, Head of Higher Mathematics Chair, Ulyanovsk State Technical University, Ulyanovsk; velmisov@ulstu.ru.
Citation: A. V. Ankilov, P. A. Velmisov, "[Criterion of determination of order of Galerkin's approximation of decision of initially boundary value problems]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:1 (2010) 7–23 (In Russian)
