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

An exact series solution for nonhomogeneous parabolic coupled systems of the type ut-Auxx=Gx, t, A1u0, t+B1ux0, t=0, A2ul, t+B2uxl, t=0, 0<x<1, t>0, ux, 0=fx, where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix is nonsingular, and A is a positive stable matrix, is co...

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Bibliographic Details
Main Authors: Vicente Soler, Emilio Defez, Roberto Capilla, José Antonio Verdoy
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/826860
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Summary:An exact series solution for nonhomogeneous parabolic coupled systems of the type ut-Auxx=Gx, t, A1u0, t+B1ux0, t=0, A2ul, t+B2uxl, t=0, 0<x<1, t>0, ux, 0=fx, where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix is nonsingular, and A is a positive stable matrix, is constructed.
ISSN:1085-3375
1687-0409