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
- Mohammed Lawan College of Agriculture, Maiduguri, Borno State 12
- Moshood Abiola Polytechnic, Abeokuta, Ogun State 7
- Nasarawa State University, Keffi, Nasarawa State 8
- Niger Delta University, Wilberforce Island, Bayelsa State 28
- Niger State College of Education, Minna, (Affl To Usmanu Danfodiyo Uni, Sokoto) 1
- Nigeria Maritime University, Okerenkoko, Delta State 1
- Nigerian Army University, Biu, Borno State 3
- Nile University of Nigeria, Abuja 3
- Nnamdi Azikiwe University, Awka, Anambra State 98
- Northwest University, Kano, Kano State 179