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.