Rabeaa Hussain Emhamed Almgherbi
Permanent Lecturer
Qualification: Master
Academic rank: Assistant Lecturer
Specialization: الرياضيات التطبيقية - الرياضيات
mathematics and statistics - Faculty of Education Gharyan
Publications
Fourier Series and its Applications in Solving Partial Differential Equations
مقال في مجلة علميةAbstract
This paper aims to review the concept of Fourier series, its coefficients, and its applications
in finding solutions to certain Partial Differential Equations (PDEs). Specifically, the study
addresses the applications of Fourier series in solving the one-dimensional homogeneous heat
equation for a finite rod, the two-dimensional Laplace equation on a rectangle, as well as the
non-homogeneous partial differential equation (Poisson's equation).
Keywords: Fourier Series, Fourier Coefficients, Parseval's Identity.
ربيعة حسين امحمد المغيربي، تهاني علي محمد حسن، زينب أحمد خليفة زوليه، (09-2025)، Journal of Libyan Academy Bani Walid: Journal of Libyan Academy Bani Walid، 1 (4)، 88-101