Information Technology Journal1812-56381812-5646Asian Network for Scientific Information10.3923/itj.2012.725.729LiRongjianWeiWei62012116One active application of the wireless sensor networks is the mobile vehicle navigation. In this study, we propose a new potential field method based upon diffusion equation and gradient descent algorithm to achieve more flexibility and adaptability in searching the best path. Based on the mathematical model obtained, Schwarz methods are introduced. We give a short survey of Schwarz method for partial differential equations, including the motivation, its evolution process such as continuous and discrete versions and recent achievements.]]>Batalin, M., G. Sukhatme and M. Hattig,2003Gander, M.,2006Gander, M.J. and H. Zhao,2002Gao, J., L. Guibas, J. Hershberger and N. Milosavljevic,2007Heinzelman, W.R., A. Chandrakasan and H. Balakrishnan,2000Intanagonwiwat, C., R. Govindan and D. Estrin,2000Lin, H., M. Lu, N. Milosavljevic, J. Gao and L.J. Guibas,2008Lions, P.,1988Verma, A., H. Sawant and J. Tan,2005Ye, F., G. Zhong, S. Lu and L. Zhang,2005Yu, Y., D. Estrin and R. Govindan,2001