dc.contributor.author | Angwenyi, N. David | |
dc.contributor.author | Lawi, George | |
dc.contributor.author | Ojiema, Michael | |
dc.contributor.author | Owino, Maurice | |
dc.date.accessioned | 2024-05-31T11:20:00Z | |
dc.date.available | 2024-05-31T11:20:00Z | |
dc.date.issued | 2018-02 | |
dc.identifier.uri | http://dx.doi.org/10.12988/imf.2014.311224 | |
dc.identifier.uri | http://ir-library.mmust.ac.ke:8080/xmlui/handle/123456789/2848 | |
dc.description.abstract | Named after Hermann L. F. von Helmholtz (1821-1894), Helmholtz equation
has obtained application in many elds: investigation of acaustic phenomena
in aeronautics, electromagnetic application, migration in 3-D geophysical application,
among many other areas. As shown in [2], Helmholtz equation is
used in weather prediction at the Met O ce in UK. Ine ciency, that is the
bottleneck in Numerical Weather Prediction, arise partly from solving of the
Helmholtz equation. This study investigates the computationally e cient iterative
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 e cient method. | en_US |
dc.language.iso | en | en_US |
dc.publisher | International Mathematical Forum, | en_US |
dc.subject | On, Computationally, E_cient, Numerical, Solution, Helmholtz, Equation | en_US |
dc.title | On the Computationally Efficient Numerical Solution to the Helmholtz Equation | en_US |
dc.type | Article | en_US |