Asymptotic Expansion of Solutions of Parabolic Equations with a Small Parameter |
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| Authors: | Gagnidze A. |
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| Affiliation: | 1. Faculty of Mechanics and Mathematics, I, Javakhishvili Tbilisi State University, 2, University St., Tbilisi, 380043, Georgia
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| 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. |
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