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三维抛物型方程的一族两层高精度显式格式
引用本文:王同科,马明书,任宗修.三维抛物型方程的一族两层高精度显式格式[J].数学季刊,2003,18(1):17-20.
作者姓名:王同科  马明书  任宗修
作者单位:College of Mathematics and Information Science,Henan Normal University,Xinxiang 453002,China
基金项目:SupportedbytheNaturalScienceFoundationofHenanEducationCommission(97110 0 0 7)
摘    要:A class of two-level high-order accuracy explicit difference scheme for solving 3-D parabolic P.D.Eis constructed.Its truncation error is (△t^2 △x^4)and the stability condition is r=△t/△x^2=△t/△y^2=△t/△z^2≤1/6.

关 键 词:精确度  显式差分结构  三维抛物型偏微分方程  截断误差  初边值问题  有限差分法  稳定性  收敛性

A Class of Two-level High-order Accuracy Explicit Difference Scheme for Solving 3-D Parabolic Partial Differential Equation
WANG Tong-ke,MA Ming-shu,REN Zong-xiu.A Class of Two-level High-order Accuracy Explicit Difference Scheme for Solving 3-D Parabolic Partial Differential Equation[J].Chinese Quarterly Journal of Mathematics,2003,18(1):17-20.
Authors:WANG Tong-ke  MA Ming-shu  REN Zong-xiu
Institution:CollegeofmathematicsandInformationScience,HenanNornalUniversity,Xinriang453002,China
Abstract:
Keywords:D parabolic P  E  E    explicit difference scheme  truncation error
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