LIU Ji-jun. The 3-Layered Explicit Difference Scheme for 2-D Heat Equation[J]. Applied Mathematics and Mechanics, 2003, 24(5): 537-544.
Citation: LIU Ji-jun. The 3-Layered Explicit Difference Scheme for 2-D Heat Equation[J]. Applied Mathematics and Mechanics, 2003, 24(5): 537-544.

The 3-Layered Explicit Difference Scheme for 2-D Heat Equation

  • Received Date: 2000-01-10
  • Rev Recd Date: 2002-12-15
  • Publish Date: 2003-05-15
  • A 3-layered explicit difference scheme for the numerical solution of 2-D heart equation is proposed.Firstly,a general symmetric difference scheme is constructed and its optimal error is obtained.Then two kinds of condition for choosing the parameters for optimal error and stable difference scheme are given.Finally some numerical results are presented to show the advantage of the schemes.
  • loading
  • [1]
    Smith G D.Numerical Solutions of Partial Differential Equations:Finite Difference Methods[M].New York: Oxford University Press,1985.
    [2]
    Munize W B.A comparison of some inverse methods for estimating the initial condition of the heat equation[J].J Comput Appl Math,1999,103:145-163.
    [3]
    周顺兴.解二维和三维抛物型偏微分方程绝对稳定的差分格式,计算数学,1980,9(1):90-97.
    [4]
    孙鸿烈.解高维热传导方程的一族高精度的显示差分格式[J].高校应用数学学报,A辑,1999,14(4):427-432.
    [5]
    LIU Ji-jun.Numerical solution of forward and backward problem for 2-D heat conduction equation[J].J Comput Appl Math,2002,145(2):459-482.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2815) PDF downloads(1576) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return