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
Filters
Institutions
- Abdul-Gusau Polytechnic, Talata-Mafara, Zamfara State 3
- Abia State Polytechnic, Aba, Abia State 24
- Abia State University, Uturu, Abia State 71
- Abraham Adesanya Polytechnic, Ijebu-Igbo, Ogun State 3
- Abubakar Tafawa Balewa University, Bauchi, Bauchi State 16
- Abubakar Tatari Ali Polytechnic, Bauchi State. (affiliated To Atbu Bauchi) 1
- Achievers University, Owo, Ondo State 6
- Adamawa State University, Mubi, Adamawa State 8
- Adekunle Ajasin University, Akungba-Akoko, Ondo State 27
- Adeleke University, Ede, Osun State 1