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, ...
This paper studies the construction of the exact solution for parabolic coupled systems of the type [u.sub.t] = A[u.sub.xx], [A.sub.1]u(0, t) + [B.sub.1][u.sub.x](0, t) = 0, [A.sub.2] u(l, t) + [B.sub.2][u.sub.x](l, t) = ...
Defez Candel, Emilio; Soler Basauri, Vicente; Romero Vivó, Sergio; Verdoy González, José Antonio(National Library of Serbia, 2019)
[EN] In this paper an exact series solution for homogeneous parabolic coupled systems is constructed using a projection method. An illustrative example is given.
Defez Candel, Emilio; Tung, Michael Ming-Sha; Chen-Charpentier, Benito M.; Alonso Abalos, José Miguel(MDPI AG, 2019-12)
[EN] Matrix exponentials are widely used to efficiently tackle systems of linear differential equations. To be able to solve systems of fractional differential equations, the Caputo matrix exponential of the index a > 0 ...
Defez Candel, Emilio(Universitat Politècnica de València, 2009-06-23)
La teoría de polinomios ortogonales matriarcales ha experimentado un desarrollo importante en las últimas décadas. El primer contacto de nuestro grupo de investigación con el tema surgio al dearrollar un método de Frobenius ...
Defez Candel, Emilio(Editorial Universitat Politècnica de València, 2013-01-15)
El presente libro recoge una relación de practicas resueltas que muestran la utilidad del programa Mathematica en la aplicación de técnicas matriciales a la ingeniería. El contenido se estructura en tres partes nucleares. ...
[EN] This work deals with the simulation of a two¿dimensional ideal lattice having simple tetragonal geometry. The harmonic character of the oscillators give rise to a system of second¿order linear differential equations, ...
In this paper a method for computing hyperbolic matrix functions based on Hermite matrix polynomial expansions is outlined. Hermite series truncation together with Paterson-Stockmeyer method allow to compute the hyperbolic ...
Tung, Michael Ming-Sha(Universitat Politècnica de València, 2013-09-02)
El objetivo de esta tesis doctoral es desarrollar nuevos métodos basados en splines para la resolución de sistemas de ecuaciones diferenciales del tipo
Y'(x)=f(x,Y(x)) , a<x<b
Y(a)=Y_a (1)
donde Y_a, Y(x) ...
[EN] The computation of matrix trigonometric functions has received remarkable attention in
the last decades due to its usefulness in the solution of systems of second order linear
differential equations. Several ...