TITLE:
Fourier-Bessel Expansions with Arbitrary Radial Boundaries
AUTHORS:
Muhammad A. Mushref
KEYWORDS:
Fourier-Bessel Analysis, Boundary Value Problems, Orthogonality of Bessel Functions
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.1,
June
2,
2010
ABSTRACT: Series expansion of single variable functions is represented in Fourier-Bessel form with unknown coefficients. The proposed series expansions are derived for arbitrary radial boundaries in problems of circular domain. Zeros of the generated transcendental equation and the relationship of orthogonality are employed to find the unknown coefficients. Several numerical and graphical examples are explained and discussed.