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On a Class of Singularly Perturbed Parabolic Equations
Author(s) -
Shih S.D.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200105)81:5<337::aid-zamm337>3.0.co;2-9
Subject(s) - mathematics , iterated function , mathematical analysis , class (philosophy) , method of matched asymptotic expansions , parabolic partial differential equation , term (time) , function (biology) , initial value problem , partial differential equation , differential equation , physics , computer science , quantum mechanics , artificial intelligence , evolutionary biology , biology
A method of matched asymptotic expansions has been used to construct an n ‐term uniformly valid approximate solution for an initial value problem of a linear singularly perturbed parabolic equation exhibiting an internal layer behavior. It is shown that each internal layer function caused by a non‐smooth initial data can be described by an n‐th iterated integral of the complementary error function.