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

Vicente Soler, Emilio Defez, Roberto Capilla and José Antonio Verdoy

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

Abstract: An exact series solution for nonhomogeneous parabolic coupled systems of the type ut − Auxx = G(x, t), A1u(0, t) + B1ux(0, t) = 0, A2u(l, t) + B2ux(l, t) = 0, 0 0, 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, is constructed.

Date: 2014
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https://doi.org/10.1155/2014/826860

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:826860

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