International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: http://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2015, 3(1), 7-11
DOI: 10.12691/ijpdea-3-1-2
Open AccessArticle

Vector Transformation Operators for a Systems Partial Differential Equation

O. Yaremko1, , N. Yaremko1 and T. Eliseeva1

1Penza State University, str. Lermontov, 37, 440038, Penza, Russia

Pub. Date: January 13, 2015

Cite this paper:
O. Yaremko, N. Yaremko and T. Eliseeva. Vector Transformation Operators for a Systems Partial Differential Equation. International Journal of Partial Differential Equations and Applications. 2015; 3(1):7-11. doi: 10.12691/ijpdea-3-1-2

Abstract

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.

Keywords:
poisson formula wave equation heat equation dirichlet problem laplace equation

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