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一类非线性伪抛物型方程的预测校正格式 被引量:2

PREDICTOR-CORRECTOR METHODS FOR A TYPE OF NONLINEAR PSEUDO-PARABOLIC EQUATION
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摘要 针对一类来源于热流密码体制中的非线性伪抛物型方程,构造了预测-校正格式,并给出了误差估计及数值算例.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 predictor-corrector method is constructed for a nonlinear pseudo-parabolic equation, which comes from some Heat Flow Cryptosystem. The error estimates and numerical examples 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.
出处 《计算数学》 CSCD 北大核心 2006年第2期155-162,共8页 Mathematica Numerica Sinica
基金 国家自然科学基金天元基金项目(A0324647) 河南省高校杰出科研人才创新工程项目(2003KJCX008)资助
关键词 非线性伪抛物型方程 预测校正格式 误差估计 计算效率 pseudo-parabolic equations, predictor-corrector scheme, error estimate
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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.

同被引文献4

  • 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.
  • 3R.E.Showalter,T.W.Ting.Pseudo-parabolic partial differential equations[J].SIAM.Math.Anal.1970(1):1-26.
  • 4H.Y.Song,H.H.Lu.The magimun principle for semilinear class of heat flow cryptosystems and analysis for results of computer semulations(in chinese)[J].CHINACRYPT'96.1996:223-230.

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