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THE FINITE ELEMENT PROBABILITY COMPUTATIONAL METHOD FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS
作者姓名:LIU Xiaoqi  LIU Jinwang
作者单位:Department of Mathematics,Xiangtan Normal University,Xiangtan 411201,China
摘    要:1.IntroductionThefiaiteelementprobabilitycomputationalmethodisakindofnumericalcalculationtecboqueofauniquestyle.Themethodshavebeendevelopedduringthefiftiestosixesforuseindeferencemethodll'2'3)andforsolvingsystemofalgebraicequations.Inengineeringandphysicsproblems,oftenwehavetosolvetheconcelltratedloadproblem.Inthiscase,weneedonlytoknowthevaluesofthefunctionatafewnodalpoilltsofthedomain.Itwillwastealotoftimetocomputetheunnecessaryvaluesofthefunctionbythefiniteelemelltmethods(ordeferencemethods…


THE FINITE ELEMENT PROBABILITY COMPUTATIONAL METHOD FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS
LIU Xiaoqi,LIU Jinwang.THE FINITE ELEMENT PROBABILITY COMPUTATIONAL METHOD FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS[J].Journal of Systems Science and Complexity,1999(4).
Authors:LIU Xiaoqi  LIU Jinwang
Abstract:In this paper, we analyze the Galerkin approximation of parabolic integro-differential equation. A probability computational method for the equation is proposed.The method is based on the backward Euler scheme,the left rectangle rule and the probability transfer matrices.
Keywords:Finite element  probability computational method  transfer matrix  parabolicintegro-differential equation  
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