On the Construction of Analytic-Numerical Approximations for a Class of Coupled Differential Models in Engineering - Open Journal of Modelling and Simulation

OJMSi > Vol.3 No.1, January 2015

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

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DOI: 10.4236/ojmsi.2015.31001 4,028 Downloads 4,660 Views

Author(s)

Emilio Defez¹, Vicente Soler², Roberto Capilla³

Affiliation(s)

¹Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain.
²Departamento de Matemática Aplicada, Universitat Politècnica de València, Valencia, Spain.
³Departamento de Ingeniera Electrónica, Universitat Politècnica de València, Valencia, Spain.

ABSTRACT

In this paper, a method to construct an analytic-numerical solution for homogeneous parabolic coupled systems with homogeneous boundary conditions of the type u_t = Au_xx, A₁u(o,t) + B₁u_x(o,t) = 0, A₂u(1,t) + B₂u_x(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.

KEYWORDS

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

Share and Cite:

Defez, E. , Soler, V. and Capilla, R. (2015) On the Construction of Analytic-Numerical Approximations for a Class of Coupled Differential Models in Engineering. Open Journal of Modelling and Simulation, 3, 1-18. doi: 10.4236/ojmsi.2015.31001.

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