naa a22 4500 51076679X CHVBK 20180411083159.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s12043-012-0504-1 doi (NATIONALLICENCE)springer-10.1007/s12043-012-0504-1 MANSOUR M. Department of Mathematics, Faculty of Science at Qena, South Valley University, Qena, Egypt aut On the sharp front-type solution of the Nagumo equation with nonlinear diffusion and convection [Elektronische Daten] [M MANSOUR] This paper is concerned with the Nagumo equation with nonlinear degenerate diffusion and convection which arises in several problems of population dynamics, chemical reactions and others. A sharp front-type solution with a minimum speed to this model equation is analysed using different methods. One of the methods is to solve the travelling wave equations and compute an exact solution which describes the sharp travelling wavefront. The second method is to solve numerically an initial-moving boundary-value problem for the partial differential equation and obtain an approximation for this sharp front-type solution. Indian Academy of Sciences, 2013 Nagumo equation nationallicence nonlinear degenerate diffusion nationallicence nonlinear convection nationallicence sharp wavefront solution nationallicence minimum wave speed nationallicence Pramana Springer-Verlag 80/3(2013-03-01), 533-538 0304-4289 80:3<533 2013 80 12043 https://doi.org/10.1007/s12043-012-0504-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12043-012-0504-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- MANSOUR M. Department of Mathematics, Faculty of Science at Qena, South Valley University, Qena, Egypt aut NATIONALLICENCE 773 0- Pramana Springer-Verlag 80/3(2013-03-01), 533-538 0304-4289 80:3<533 2013 80 12043 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer