1. An efficient method for 3D Helmholtz equation with complex solution.
- Author
-
Heydari, M. H., Hosseininia, M., and Baleanu, D.
- Subjects
ELLIPTIC differential equations ,ALGEBRAIC equations ,HELMHOLTZ equation ,CHEBYSHEV polynomials ,THEORY of wave motion ,ACOUSTIC radiation - Abstract
The Helmholtz equation as an elliptic partial differential equation possesses many applications in the time-harmonic wave propagation phenomena, such as the acoustic cavity and radiation wave. In this paper, we establish a numerical method based on the orthonormal shifted discrete Chebyshev polynomials for finding complex solution of this equation. The presented method transforms the Helmholtz equation into an algebraic system of equations that can be easily solved. Four practical examples are examined to show the accuracy of the proposed technique. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF