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Soler, V., Defez, E. and Verdoy, J.A. (2014) On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems. Abstract and Applied Analysis, 2014, Article ID: 759427.

has been cited by the following article:

• TITLE: On the Construction of Analytic-Numerical Approximations for a Class of Coupled Differential Models in Engineering

  AUTHORS: Emilio Defez, Vicente Soler, Roberto Capilla

  KEYWORDS: Coupled Diffusion Problems, Coupled Boundary Conditions, Vector Boundary-Value Differential Systems, Sturm-Liouville Vector Problems, Analytic-Numerical Solution

  JOURNAL NAME: Open Journal of Modelling and Simulation, Vol.3 No.1, December 9, 2014

  ABSTRACT: In this paper, a method to construct an analytic-numerical solution for homogeneous parabolic coupled systems with homogeneous boundary conditions of the type ut = Auxx, A1u(o,t) + B1ux(o,t) = 0, A2u(1,t) + B2ux(1,t) = 0, ot>0, u (x,0) = f(x), where A is a positive stable matrix and A1, B1, B1, B2, are arbitrary matrices for which the block matrix is non-singular, is proposed.