The Application of Cellular Neural Networks for Solving Partial Differential Equations-中国期刊网

摘要 Theapplicationofcellularneuralnetworks(CNN)forsolvingpartialdifferentialequations(PDEs)isinvestigatedinthispaper.TwokindsofthePDEs,theheat-conductionequationandPoisson'sdquation,areconsideredtobetypicalexamples.TheycanbecomputedinrealtimebyusingtheCNN,whiletheCNN'shardwareisimplementedbytheintegratedOP-AMP.Theexperimentalresultsshowthatthehardwareperformenceisinagreementwiththatgivenbythecomputersimulation.Therefore,theCNNisanewpowerfultoolforsolvingPDEs.

1Zeyu LIU;Yantao YANG;Qingdong CAI. Neural network as a function approximator and its application in solving differential equations.力学,2019-02.
2MENG Qing-xin;TANG Mao-ning. A variational formula for controlled backward stochastic partial differential equations and some application.基础数学,2014-03.
3. ON THE STABILITY OF CELLULAR NEURAL NETWORKS WITH FEEDBACK MODE.物理电子学,1997-04.
4Guangwei LI. IMPLICITIZATION OF PARTIAL DIFFERENTIAL RATIONAL PARAMETRIC EQUATIONS.系统科学,2006-02.
5AnthonyGar-onYeh LIXia. Integration of Neural Networks and Cellular Automata for Urban Planning.测绘科学与技术,2004-01.
6Qingfeng ZHU;Yufeng SHI. Backward Doubly Stochastic Differential Equations with Jumps and Stochastic Partial Differential-Integral Equations.基础数学,2012-01.
7葛翔宇. CONORMAL SINGULARITIES FOR SOLUTION OF SEMILINEAR PARTIAL DIFFERENTIAL EQUATIONS.基础数学,1991-04.
8Guo Li ZHOU;Zhen Ting HOU. The Ergodicity of Stochastic Partial Differential Equations with Levy Jump.基础数学,2011-12.
9傅希林. OSCILLATION OF A CLASS OF PARABOLIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS.基础数学,1993-02.
10. CONDITIONS OF ASYMPTOTIC STABILITY FOR CELLULAR NEURAL NETWORKS WITH TIME DELAY.物理电子学,2000-04.

The Application of Cellular Neural Networks for Solving Partial Differential Equations

来源期刊

相关推荐

同分类资源更多

相关关键词

The Application of Cellular Neural Networks for Solving Partial Differential Equations

来源期刊

相关推荐

同分类资源 更多

相关关键词

同分类资源更多