Application of Fourier Series and the Method of Variables Separation in Solving Heat Conduction Problems
Student: Abubakar Abdulkadir Saleh (Project, 2025)
Department of
Northwest University, Kano, Kano State
Abstract
This thesis explores the application of Fourier series in solving partial differential equations (PDEs),
focusing on the one- and two-dimensional heat equations. Using the method of separation of variables,
Fourier series effectively decompose complex heat transfer problems into simpler forms, enabling precise
temperature distribution modeling over time. The study demonstrates the accuracy and efficiency of
this approach in solving PDEs commonly used in engineering and physics. Future research may extend
these methods to three-dimensional heat equations and more advanced boundary conditions for broader
practical applications.
Keywords
For the full publication, please contact the author directly at: abubakarabdulkadir1764@gmail.com
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Institutions
- Federal University of Technology, Minna, Niger State 47
- Federal University of Technology, Owerri, Imo State 95
- Federal University Oye-Ekiti, Ekiti State 41
- Federal University, Birnin-Kebbi, Kebbi State 37
- Federal University, Dutse, Jigawa State 6
- Federal University, Dutsin-Ma, Katsina State 63
- Federal University, Gashua, Yobe State 3
- Federal University, Gusau, Zamfara State 14
- Federal University, Kashere, Gombe State 1
- Federal University, Lafia, Nasarawa State 6