Classroom Note: Numerical solutions of Nagumo's equation

摘要

Nagumo's equation is a third order non-linear ordinary differential equationd3udx3−cd2udx2+f′(u)dudx−(b/c)u=0wheref(u)=u(1−u)(u−α),0<α<1. In this paper wehave developed a technique to determine those values of the parametersa,bandcwhich permitnon-constant bounded solutions.