Abstract:
Named after Hermann L. F. von Helmholtz (1821-1894), Helmholtz equation
has obtained application in many fields: investigation of acaustic phenomena
in aeronautics, electromagnetic application, migration in 3-D geophysical ap plication, among many other areas. As shown in [2], Helmholtz equation is
used in weather prediction at the Met Office in UK. Inefficiency, that is the
bottleneck in Numerical Weather Prediction, arise partly from solving of the
Helmholtz equation. This study investigates the computationally efficient it erative method for solving the Helmholtz equation. We begin by analysing the
condition for stability of Jacobi Iterative method using Von Neumann method.
Finally, we conclude that Bi-Conjugate Gradient Stabilised Method is the most
computationally efficient method.
