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一类非线性伪抛物型方程的D格式

Douglas Scheme for a Type of Nonlinear Pseudo-Parabolic Equation
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摘要 针对一类非线性伪抛物型方程,构造了D格式,并给出了截断误差阶估计.该方法通过求解两个线性代数方程得到原问题的解,避免了非线性迭代运算,提高了计算效率. A Douglas Scheme is constructed for a nonlinear Pseudo-Parabolic equation. The truncation error estimates are given. The method is to solve two linear algebraic equations to obtain the solution. The nonlinear iterative process is avoided and the calculating efficiency is enhanced.
作者 舒阿秀
出处 《阜阳师范学院学报(自然科学版)》 2007年第2期11-12,33,共3页 Journal of Fuyang Normal University(Natural Science)
关键词 伪抛物型方程 D格式 截断误差阶估计 pseudo-parabolic equation douglas scheme truncation error estimate
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参考文献3

  • 1[1]Showalter R E,Ting T W.Pseudo-parabolic partial differential equations[J].SIAM.Math.Anal.1970,(1):1-26.
  • 2[2]Song H Y,Lu H H.The maximun principle for semilinear class of heat flow cryptosystems and analysis of results of computer semulations(in chinese).CHINACRYPT'96,1996:223-230.
  • 3涂慧,刘超,江成顺.一类非线性伪抛物型方程的预测校正格式[J].计算数学,2006,28(2):155-162. 被引量:2

二级参考文献4

  • 1R.E.Showalter,T.W.Ting,Pseudoparabolic Partial Differential Equations,SIAM.Math.Anal.,1(1970),1-26.
  • 2H.Y.Song,H.H.Lu,The Maximum Principle for Semilinear Class of Heat Flow Cryptosystems and Analysis of Results of Computer Simulations(in Chinese),CHINACRYPT'96,1996,223-230.
  • 3J.Douglas Jr,B.F.Jones Jr,On Predictor-Corrector Method For Nonlinear Parabolic Differential Equations,SIAM.J.Appl.Math.,11(1963),195-204.
  • 4Y.L.Zhou,Applications of Discrete Functional Analysis to the Finite Method,Intern.Acad.Publishers,Beijing,1990.

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