Numerical method for a chemical nonlinear reaction boundary value problem

被引：0
|
作者：
Zadorin, AI [1 ]
Kharina, OV [1 ]
机构：
[1] Russian Acad Sci, Inst Math, Omsk Branch, Siberian Branch, Novosibirsk, Russia
来源：
NUMERICAL ANALYSIS AND ITS APPLICATIONS | 2005年 / 3401卷
关键词：
D O I：
暂无
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A second order singularly perturbed differential equation with nonlinear source term modelling chemical processes on semi-infinite interval is considered. The question of transformation of the boundary conditions to a finite interval is studied. We proved that the problem posed on a finite interval does not involve a distinct boundary layer and can be solved with the use of an upwind difference scheme that is uniformly convergent with respect to the small parameter. Numerical experiments are discussed.
引用
收藏
页码：583 / 589
页数：7
相关论文
共 50 条
  • [21] Symmetry reduction and numerical solution of a nonlinear boundary value problem in fluid mechanics
    Bilige, Sudao
    Han, Yanqing
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2018, 28 (03) : 518 - 531
  • [22] AN INTEGRAL METHOD FOR THE NUMERICAL SOLUTION OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS
    Bulatov, M. V.
    Lima, P. M.
    Do Tien, Thanh
    BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2015, 8 (04): : 5 - 13
  • [23] SOLVABILITY OF A NONLINEAR BOUNDARY VALUE PROBLEM
    Peres, S.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2013, 82 (01): : 69 - 103
  • [24] Nonlinear biharmonic boundary value problem
    Tacksun Jung
    Q-Heung Choi
    Boundary Value Problems, 2014
  • [25] Nonlinear biharmonic boundary value problem
    Jung, Tacksun
    Choi, Q-Heung
    BOUNDARY VALUE PROBLEMS, 2014,
  • [26] On a discrete nonlinear boundary value problem
    Cheng, SS
    Yen, HT
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 313 (1-3) : 193 - 201
  • [27] A nonlinear boundary value problem on a graph
    Pokornyi, YV
    Penkin, OM
    Pryadiev, VL
    DIFFERENTIAL EQUATIONS, 1998, 34 (05) : 631 - 638
  • [28] On numerical solution of fractional order boundary value problem with shooting method
    Demir, Huseyin
    Balturk, Yucel
    2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES2017), 2017, 13
  • [29] Numerical method for the inverse boundary-value problem of the heat equation
    Dmitriev V.I.
    Stolyarov L.V.
    Computational Mathematics and Modeling, 2017, 28 (2) : 141 - 147
  • [30] Iteration Method for Solving a Nonlinear Boundary Value Problem with a Point Source
    O. A. Zadvornov
    G. O. Trifonova
    Russian Mathematics, 2022, 66 : 60 - 64
12345