Title :
A backward method for transport equation based on Shannon wavelets and characteristics
Author :
Qiang Wu;Feng Shi;Zongwei Luo
Author_Institution :
Department of Electronic and Electrical Engineering, South University of Science and Technology of China, China
Abstract :
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.
Keywords :
"Multiresolution analysis","Nickel","Image reconstruction","Frequency-domain analysis","Tensile stress","Wavelet transforms"
Conference_Titel :
Advanced Information Technology, Electronic and Automation Control Conference (IAEAC), 2015 IEEE
Print_ISBN :
978-1-4799-1979-6
DOI :
10.1109/IAEAC.2015.7428535
