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

Wu, Qiang1; Shi, Feng2; Luo, Zongwei1; Xu, B

10.1109/IAEAC.2015.7428535

2015

2015 IEEE ADVANCED INFORMATION TECHNOLOGY, ELECTRONIC AND AUTOMATION CONTROL CONFERENCE (IAEAC)

142-145

Chongqing, China

345 E 47TH ST, NEW YORK, NY 10017 USA

IEEE

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.

backward method method of characteristics Shannon wavelets transport equation

第一 ; 通讯

英语

CPCI-S ; EI

China Postdoctoral Science Foundation[2014M560252]

Automation & Control Systems ; Engineering

Automation & Control Systems ; Engineering, Electrical & Electronic

WOS:000377348700030

20162002375321

Control engineering

Numerical Methods:921.6

Web of Science

1.South Univ Sci & Technol China, Dept Elect & Elect Engn, Shenzhen, Peoples R China
2.Harbin Inst Technol, Shenzhen Grad Sch, Sch Mech Engn & Automat, Harbin 150006, Peoples R China

Wu, Qiang,Shi, Feng,Luo, Zongwei,et al. A Backward Method for Transport Equation based on Shannon Wavelets and Characteristics[C]. 345 E 47TH ST, NEW YORK, NY 10017 USA:IEEE,2015:142-145.