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

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.