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On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems

Vicente Soler, Emilio Defez and José Antonio Verdoy

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper continues with 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. Although this problem has been solved in the literature (Soler et al., 2013), in this work we are using completely new conditions.

Date: 2014
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https://doi.org/10.1155/2014/759427

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