Fourier-Bessel Expansions with Arbitrary Radial Boundaries

Muhammad A. Mushref

P. O. Box 9772, Jeddah, Saudi Arabia.

DOI: 10.4236/am.2010.11003                

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.

Keywords

Fourier-Bessel Analysis, Boundary Value Problems, Orthogonality of Bessel Functions

Conflicts of Interest

The authors declare no conflicts of interest.

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