ABOUT ONE ALGORITHM OF SOLVING AN INITIAL-BOUNDARY PROBLEM FOR THE EQUATION OF NONSTATIONARY HEAT CONDUCTION

被引：0
|
作者：
Chybiryakov, V. K. [1 ]
Stankevich, A. M. [2 ]
Melnychuk, V. F. [1 ]
机构：
[1] Kiev Natl Univ Construct & Architecture, Dept Higher Math, Kiev, Ukraine
[2] Kiev Natl Univ Construct & Architecture, Dept Mat Resistance, Kiev, Ukraine
来源：
OPIR MATERIALIV I TEORIA SPORUD-STRENGTH OF MATERIALS AND THEORY OF STRUCTURES | 2015年 / 95期
关键词：
unsteady heat conduction; finite difference method; method SG Godunov implicit algorithm accuracy and stability;
D O I：
暂无
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
In this paper we propose to solve differential equations of heat conduction problems using finite difference method in time coordinates and the method of discrete orthogonalization S.G. Godunov for each time layer to the spatial coordinate.
引用
收藏
页码：90 / 95
页数：6
相关论文
共 50 条
  • [41] On an Initial-Boundary Control Problem for a Linear Equation of the Mixed Type
    Nakhusheva, V. A.
    [J]. DIFFERENTIAL EQUATIONS, 2015, 51 (10) : 1338 - 1346
  • [42] The Phase Space of an Initial-Boundary Value Problem for the Hoff Equation
    G. A. Sviridyuk
    V. O. Kazak
    [J]. Mathematical Notes, 2002, 71 : 262 - 266
  • [43] The initial-boundary value problem for the generalized double dispersion equation
    Xiao Su
    Shubin Wang
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2017, 68
  • [44] On Initial-Boundary Value Problem on Semiaxis for Generalized Kawahara Equation
    Faminskii A.V.
    Martynov E.V.
    [J]. Journal of Mathematical Sciences, 2022, 265 (5) : 849 - 864
  • [45] The initial-boundary value problem for the generalized double dispersion equation
    Su, Xiao
    Wang, Shubin
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (03):
  • [46] Initial-Boundary Value Problem for a Nonlinear Beam Vibration Equation
    Sabitov, K. B.
    Akimov, A. A.
    [J]. DIFFERENTIAL EQUATIONS, 2020, 56 (05) : 621 - 634
  • [47] ON THE INITIAL-BOUNDARY VALUE-PROBLEM FOR THE BOLTZMANN-EQUATION
    CERCIGNANI, C
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1992, 116 (04) : 307 - 315
  • [48] NUMERICAL SOLUTION OF INITIAL-BOUNDARY VALUE PROBLEM FOR THE HELMHOLTZ EQUATION
    Bektemesov, Maktagali A.
    Kabanikhin, Sergey I.
    Nurseitov, Daniyar B.
    Kasenov, Syrym Y.
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2014, 11 : C4 - C21
  • [49] The Mixed Initial-Boundary Value Problem for Degenerate Hyperbolic Equation
    Kakharman, Nurbek
    [J]. EXTENDED ABSTRACTS MWCAPDE 2023, 2024, 1 : 145 - 150
  • [50] The linearization of the initial-boundary value problem of the nonlinear Schrodinger equation
    Fokas, AS
    Its, AR
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (03) : 738 - 764
12345