Acta mathematica scientia, Series B >
SINGULARLY PERTURBED SEMI-LINEAR BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS FUNCTION
Received date: 2010-03-16
Online published: 2012-03-20
Supported by
Supported by National Natural Science Foundation of China (11071075, 11171113), National Natural Science Foundation of China-subsidized by CAS Knowledge Innovation Project (30921064, 90820307), Shang Natural Science Foundation (10ZR1409200), and Division of Computational Sci-ence, E-institute of Shanghai Jiaotong University(E03004).
A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is given and shown to be uniformly effective. The existence and uniqueness of the solution for the system is also proved. Numerical result is presented as an illustration to the theoretical result.
DING Hai-Yun , NI Ming-Kang , LIN Wu-Zhong , CAO Yang . SINGULARLY PERTURBED SEMI-LINEAR BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS FUNCTION[J]. Acta mathematica scientia, Series B, 2012 , 32(2) : 793 -799 . DOI: 10.1016/S0252-9602(12)60059-9
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