Exact Analytical Three-Dimensional Solution for System with Rectangular Fin

AUTHOR(S):

TITLE

Exact Analytical Three-Dimensional Solution for System with Rectangular Fin

ABSTRACT

In this paper we develop mathematical models for three dimensional stationary hyperbolic heat equations with inner source power and we construct their analytical solution. We solved three-dimensional for two contacted rectangles with inner heat sources and full non-homogeneous boundary conditions. The application for such mathematical model can be very different. Exact solution is in the form of the Fredholm integral equation on the continuous plane between both rectangles. We use Green function for the both rectangles.

KEYWORDS

Elliptic equation, Non-homogeny boundary condition, Non-canonical domain, Green function, Exact solution

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Cite this paper

Buike Margarita, Buikis Andris. (2017) Exact Analytical Three-Dimensional Solution for System with Rectangular Fin. International Journal of Mathematical and Computational Methods, 2, 82-88