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.
引用
收藏
页数：4
相关论文
共 50 条
[21]   Fractional Order Convergence Rate Estimate of Finite-Difference Method for the Heat Equation with Concentrated Capacity [J].
Sredojevic, Bratislav, V ;
Bojovic, Dejan R. .
FILOMAT, 2021, 35 (01) :331-338
[22]   The convergence rate of economical iterative methods for stationary problems of mathematical physics [J].
V. N. Abrashin ;
N. G. Zhadaeva .
Differential Equations, 2000, 36 :1348-1359
[23]   Stability and Convergence of the Spectral Galerkin Method for the Cahn-Hilliard Equation [J].
He, Yinnian ;
Liu, Yunxian .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (06) :1485-1500
[24]   Convergence of a space-time continuous Galerkin method for the wave equation [J].
Zhihui Zhao ;
Hong Li .
Journal of Inequalities and Applications, 2016
[25]   About Convergence Speed of the Stationary Galerkin Method for the Mixed Type Equation [J].
Egorov, I. E. ;
Tikhonova, I. M. .
BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2012, (14) :53-58
[26]   Convergence of a space-time continuous Galerkin method for the wave equation [J].
Zhao, Zhihui ;
Li, Hong .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[27]   CONVERGENCE OF THE FOURIER-GALERKIN SPECTRAL METHOD FOR THE BOLTZMANN EQUATION WITH UNCERTAINTIES [J].
Liu, Liu ;
Qi, Kunlun .
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2024, 22 (07) :1897-1925
[28]   REGULARITY OF SOLUTIONS AND THE CONVERGENCE OF THE GALERKIN METHOD IN THE GINZBURG-LANDAU EQUATION [J].
DOELMAN, A ;
TITI, ES .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1993, 14 (3-4) :299-321
[29]   Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation [J].
William McLean ;
Kassem Mustapha .
Numerical Algorithms, 2009, 52 :69-88
[30]   Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation [J].
McLean, William ;
Mustapha, Kassem .
NUMERICAL ALGORITHMS, 2009, 52 (01) :69-88
12345