Open AccessModified Explicit Decoupled Group Scheme οn Helmholtz Equation
Author(s) -
Norhashidah Ali Mohd,
Fauzan Aziz
Publication year - 2020
Publication title -
international journal of applied mathematics and informatics
Language(s) - English
Resource type - Journals
ISSN - 2074-1278
DOI - 10.46300/91014.2020.14.1
Subject(s) - stencil , helmholtz equation , group (periodic table) , grid , helmholtz free energy , mathematics , scheme (mathematics) , finite difference , point (geometry) , finite difference method , mathematical analysis , geometry , computational science , boundary value problem , physics , quantum mechanics
In this paper, the formulation of a new group iterative method called the Modified Explicit Decoupled Group method in solving the two dimensional Helmholtz equation is described. The method is derived using a combination of the five-point finite difference approximation on the rotated grid stencil together with the five-point centred difference approximation on the standard grid stencils. Numerical experimentations of this new formulation shows significant improvement in computational complexity and execution timings over the original Explicit Decoupled Group method [2].