Exact solution of coupled mixed diffusion problems with coupled boundary conditions

Authors:
J. Camacho;L. Jódar;E. Navarro
Affiliations:
Departamento de Matemática Aplicada, Universidad Politécnica P.O. Box 22.012, Valencia 46071, Spain;Departamento de Matemática Aplicada, Universidad Politécnica P.O. Box 22.012, Valencia 46071, Spain;Departamento de Matemática Aplicada, Universidad Politécnica P.O. Box 22.012, Valencia 46071, Spain
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1998

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Abstract

In this paper, existence conditions and construction of an exact series solution for coupled diffusion problems of the type u"t - Au"x"x = G(x,t), u(0,t) = 0, Bu(1,t) + C"u"x(1,t) = 0, u(x,0) = @?(x), 0 @? x @? 1, t 0 are treated. HereA is a positive stable matrix, matrix C^-^1B has real eigenvalues, and no diagonalizable hypothesis on these matrices is assumed.