Integration wavelet neural network for steady convection dominated diffusion problem

摘要：

In this paper, we first propose an Integration Wavelet Neural Network(I_WNN) based on spline wavelet functions for solving differential equations. Then the proposed method is verified successfully by solving two steady convection dominated diffusion problems and the numerical perturbation doesnt happen when the ratio of convective coefficient to diffusive coefficient is as high as 100. Moreover, once the I_WNN is trained and the parameters are stored, it allows instantaneous evaluation of solution at any desired point spending negligible computing time and memory and the maximum relative error is 1.13％.

关键词： convection dominated spline wavelet WNN integration

作者: Xuejuan LI Jie OUYANG Qiang LI Jinlian REN

作者单位: Department of Applied Mathematics Northwestern Polytechnical University Xian710129,P.R.China

会议类型: 国际会议

会议名称: Third International Conference on Information and Computing(第三届信息与计算科学国际会议 ICIC 2010)

会议地点: 无锡

会议语种:英文

页码: 109-112

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）