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
- Sokoto State University, Sokoto, Sokoto State 42
- St. Albert The Great Major Seminary, Abeokuta. (affl. To University of Benin) 1
- Sule Lamido University, Kafin Hausa, Jigawa State 4
- Tai Solarin University of Education, Ijagun, Ogun State 18
- Tansian University, Oba, Anambra State 1
- Taraba State University, Jalingo, Taraba State 32
- Temple-Gate Polytechnic, Osisioma, Abia State 1
- The Oke-Ogun Polytechnic, Saki, Oyo State 6
- The Polytechnic, Ibadan, Oyo State 13
- THOMAS ADEWUMI UNIVERSITY, OKO-IRESE, KWARA STATE 1