A Backward Method for Transport Equation based on Shannon Wavelets and Characteristics

摘要：

　　A backward method is proposed to approximate the solution to transport equation at any time instant.With the method of characteristics,values of the solution at selected sampling nodes are obtained by backward tracking along the characteristics.By taking Shannon wavelets as basis functions citing their properties of accuracy in approximation and convenience in construction,the solution is reconstructed by its truncated cardinal serial.Validity and accuracy of the method are demonstrated by numerical examples.

关键词： backward method method of characteristics Shannon wavelets transport equation

作者: Qiang WU Feng SHI Zongwei LUO

作者单位: Department of Electronic and Electrical Engineering, South University of Science and Technology of C School of Mechanical Engineering and Automation, Harbin Institute of Technology Shenzhen Graduate Sc

会议类型: 国际会议

会议名称: 2015 IEEE Advanced Information Technology, Electronic and Automation Control Conference(IAEAC 2015)(2015 IEEE先进信息技术,电子与自动化控制国际会议)

会议地点: 重庆

会议语种:英文

页码: 142-145

在线出版日期: 2015-12-19（万方平台首次上网日期，不代表论文的发表时间）