eng
Science and Education Publishing
International Journal of Partial Differential Equations and Applications
2015-01-13
3
1
7
11
10.12691/ijpdea-3-1-2
IJPDEA2015312
article
Vector Transformation Operators for a Systems Partial Differential Equation
O. Yaremko
yaremki@mail.ru
1
N. Yaremko
1
T. Eliseeva
1
Penza State University, str. Lermontov, 37, 440038, Penza, Russia
Vector transformation operators method is applied to vector heat equation in one space dimension, to vector wave equation in one space dimension and to vector Laplace equation in two dimensions. The transformation operators method which allows us to interpret piecewise-homogeneous physical processes as a perturbing of a homogeneous ones. The analytical description of mathematical models of thermal conductivity and wave processes for piecewise homogeneous media with flat symmetry is obtained by the developed in this paper vector transformation operators method.
http://pubs.sciepub.com/ijpdea/3/1/2/ijpdea-3-1-2.pdf
poisson formula
wave equation
heat equation
dirichlet problem
laplace equation