Buikis Andris, Buike Margarita , "Exact Analytical Three and Two-Dimensional Solutions for Systems with Rectangular Fin," WSEAS Transactions on Mathematics, vol. 16, pp. 462-470, 2017, DOI:
Buikis Andris, Buike Margarita . Exact Analytical Three and Two-Dimensional Solutions for Systems with Rectangular Fin.
WSEAS Transactions on Mathematics. 2017;16:462-470.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
Exact Analytical Three and Two-Dimensional Solutions for Systems with Rectangular Fin
Authors: ,
Abstract: In this paper we develop mathematical models for three an two dimensional stationary hyperbolic heat equations with inner source power and we construct their analytical solutions. We solved three-dimensional problem 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 solutions 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
Pages: 462-470 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #49 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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