Abstract
An elliptic equation in a rectangle with coefficients depending on a fast variable and with its period being a small parameter is considered. An asymptotic expansion of the solution up to an arbitrary degree of the small parameter is constructed and substantiated by applying the two-scale expansion method.
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Original Russian Text © I.S. Malakhova, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 8, pp. 1457–1466.
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Malakhova, I.S. Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle. Comput. Math. and Math. Phys. 51, 1360–1368 (2011). https://doi.org/10.1134/S096554251108015X
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DOI: https://doi.org/10.1134/S096554251108015X