International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 1, Pages 61-68
doi:10.1155/S0161171279000065

Singular perturbation for nonlinear boundary-value problems

Abstract

Asymptotic solutions of a class of nonlinear boundary-value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular-perturbation type and approximations are constructed by the method of matched asymptotic expansions.