TITLE:
A Semi-Analytical Method for the Solution of Helmholtz Equation
AUTHORS:
M. Tadi
KEYWORDS:
Helmholtz Equation; Elliptic Systems; High Wavenumber
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.5,
October
22,
2013
ABSTRACT:
This note is concerned with a semi-analytical method for
the solution of 2-D Helmholtz equation in unit square. The method uses
orthogonal functions to project the problem down to finite dimensional space.
After the projection, the problem simplifies to that of obtaining solutions for
second order constant coefficient differential equations which can be done
analytically. Numerical results indicate that the method is particularly useful
for very high wave numbers.