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On Exact Series Solution of Strongly Coupled Mixed Parabolic Problems

Vicente Soler, Emilio Defez, M. V. Ferrer and J. Camacho

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: This paper studies the construction of the exact solution for parabolic coupled systems of the type ut = Auxx, A1u(0, t) + B1ux(0, t) = 0, A2u(l, t) + B2ux(l, t) = 0, 0 0, and u(x, 0) = f(x), where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix (A1B1A2B2) is nonsingular, and A is a positive stable matrix.

Date: 2013
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https://doi.org/10.1155/2013/524514

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