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
- Landmark University, Omu-Aran, Kwara State 1
- Lead City University, Ibadan, Oyo State 1
- Lens Polytechnic, offa, Kwara State. 215
- Madonna University, Elele, Rivers State 20
- Madonna University, Okija, Anambra State 2
- Mcpherson University, Seriki Sotayo, Ogun State 1
- Michael and Cecilia Ibru University, Owhrode, Delta State 1
- Michael Okpara University of Agriculture, Umudike 43
- Michael Otedola Col of Primary Educ. Epe, Lagos (affl To University of Ibadan) 8
- Modibbo Adama University, Yola, Adamawa State 15