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Mathematics
Application of the stationary Galerkin method to the first boundary value problem for a mixed high-order equation
I. M. Tikhonova M. K. Ammosov North-Eastern Federal University, Research Institute of Mathematics, Kulakovskii Street, 48, Yakutsk 677000, Russia
Abstract:
We consider the first boundary value problem for a mixed even-order equation and construct an approximate solution using the stationary Galerkin method. The existence of a regular solution for the boundary value problem is proved under certain conditions on coefficients of the equation. We obtain the error estimate of the Galerkin method.
Keywords:
Galerkin method, mixed type equation, regular solution, a priori estimate.
Received: 20.11.2016
Citation:
I. M. Tikhonova, “Application of the stationary Galerkin method to the first boundary value problem for a mixed high-order equation”, Mathematical notes of NEFU, 23:4 (2016), 73–81
Linking options:
https://www.mathnet.ru/eng/svfu40 https://www.mathnet.ru/eng/svfu/v23/i4/p73
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