caa a22 4500 477075533 CHVBK 20180405111438.0 cr unu---uuuuu 170330e19960601xx s 000 0 eng 10.1007/BF02901231 doi (NATIONALLICENCE)springer-10.1007/BF02901231 A finite difference approach to the diffusion equation in electrical conductivity tomography [Elektronische Daten] [Cai Qin, Ma Ning, Hu Zhengyi, Wang Yanping] In the study of electrical conductivity tomography using low frequency electromagnetic waves, the equation that describes the EM field is a diffusion equation. In this paper, a stable finite difference method called Peaceman-Rachford scheme is used to solve the diffusion equation. The solution is derived in detail and a computer simulation is given. The calculated EM data are shown in waveforms. The simulation result shows that this method is simple and accurate. The EM data in time domain can be transformed to a wave field in time-like domain by an integral transformation and the traveltime data can be calculated. Compared with the theoretical value, the first travel time data obtained through transformation have a normalized mean square error of 5 percent, which proves the method to be accurate. Springer, 1996 conductivity tomography nationallicence diffusion equation nationallicence finite difference method nationallicence Qin Cai College of Electronic Information, Wuhan University, 430072, Wuhan, China aut Ning Ma College of Electronic Information, Wuhan University, 430072, Wuhan, China aut Zhengyi Hu College of Electronic Information, Wuhan University, 430072, Wuhan, China aut Yanping Wang College of Electronic Information, Wuhan University, 430072, Wuhan, China aut Wuhan University Journal of Natural Sciences Wuhan University 1/2(1996-06-01), 217-220 1007-1202 1:2<217 1996 1 11859 https://doi.org/10.1007/BF02901231 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02901231 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Qin Cai College of Electronic Information, Wuhan University, 430072, Wuhan, China aut NATIONALLICENCE 700 1- Ning Ma College of Electronic Information, Wuhan University, 430072, Wuhan, China aut NATIONALLICENCE 700 1- Zhengyi Hu College of Electronic Information, Wuhan University, 430072, Wuhan, China aut NATIONALLICENCE 700 1- Yanping Wang College of Electronic Information, Wuhan University, 430072, Wuhan, China aut NATIONALLICENCE 773 0- Wuhan University Journal of Natural Sciences Wuhan University 1/2(1996-06-01), 217-220 1007-1202 1:2<217 1996 1 11859 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer