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Classroom Note: Numerical solutions of Nagumo's equation

Authors
Publisher
Journal of Applied Mathematics and Decision Sciences
Publication Date
Disciplines
  • Mathematics

Abstract

Nagumo's equation is a third order non-linear ordinary differential equation d3udx3−cd2udx2+f′(u)dudx−(b/c)u=0 where f(u)=u(1−u)(u−α) , 0<α<1 . In this paper we have developed a technique to determine those values of the parameters a,b and c which permit non-constant bounded solutions.

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