TITLE:
Fourier-Series Representation of Discontinuous Functions and Its Physical Applications
AUTHORS:
Sami M. Al-Jaber, Iyad Saadeddin
KEYWORDS:
Electric Field, Charged Conductors, Electrostatics, Fourier Series
JOURNAL NAME:
Applied Mathematics,
Vol.10 No.4,
April
25,
2019
ABSTRACT: In this
work, Fourier-series representation of a discontinuous function is used to
highlight and clarify the controversial problem of finding the value of the
function at a point of discontinuity. Several physical situations are presented
to examine the consequences of this kind of representation and its impact on
some widely well-known problems whose results are not clearly understood or
justified.