1
PhD Candidate, Faculty of Mathematical Sciences, Shahrood University of Technology
2
Assistant Professor, Faculty of Mathematical Sciences, Shahrood University of Technology
Abstract
In this paper, we analyze the exact solutions of two-dimensional heat transfer equation by using a class of differential operators, called symmetries of differential equations. Firstly, we introduce the general form of the two-dimensional heat transfer equation. Then, we will find the exact solutions of the equations by using the mentioned differential operators in some special cases. It is noteworthy that this method could be extended to all kinds of system of differential equations.
Rashidi, S., & Hejazi, R. (2018). Symmetries of two-dimensional heat transfer equation, order reduction and exact solutions. سیستم های مختلط و غیر خطی, 1(2), 9-15.
MLA
Saeede Rashidi; Reza Hejazi. "Symmetries of two-dimensional heat transfer equation, order reduction and exact solutions". سیستم های مختلط و غیر خطی, 1, 2, 2018, 9-15.
HARVARD
Rashidi, S., Hejazi, R. (2018). 'Symmetries of two-dimensional heat transfer equation, order reduction and exact solutions', سیستم های مختلط و غیر خطی, 1(2), pp. 9-15.
VANCOUVER
Rashidi, S., Hejazi, R. Symmetries of two-dimensional heat transfer equation, order reduction and exact solutions. سیستم های مختلط و غیر خطی, 2018; 1(2): 9-15.
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