ISSN:
1572-9176
Keywords:
Heat equation
;
small parameter
;
concentrated perturbation
;
complete asymptotic expansion
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The heat equation with a small parameter, $$\left( {1 + \varepsilon ^{ - m} \chi \left( {\frac{x}{\varepsilon }} \right)} \right)ut = u_{xx} $$ , is considered, where ε ∈ (0, 1), m 〈 1 and χ is a finite function. A complete asymptotic expansion of the solution in powers ε is constructed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/B:GEOR.0000008128.39743.d3
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