Estimate of Convergence Rate of the Galerkin Method for a Nonclassical Equation of Mathematical Physics

被引：0
|
作者：
Fedorov, Valery E. [1 ]
机构：
[1] North Eastern Fed Univ, 58 Belinskogo Str, Yakutsk 677000, Russia
来源：
2D SYSTEMS OF THE STRONG CORRELATED ELECTRONS: FROM FUNDAMENTAL RESEARCH TO PRACTICAL APPLICATIONS | 2018年 / 2041卷
关键词：
D O I：
10.1063/1.5079376
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper author prove the existence and uniqueness of a regular solution of the first boundary value problem for a higher order nonclassical equation of mathematical physics in a cylindrical domain, using the nonstationary Galerkin method and regularization method. The estimate is obtained for convergence rate of approximate solutions of this problem in terms of regularization parameter and eigenvalues of the selfadjoint spectral problem for a higher order elliptic equation.
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页数：4
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