Heydari, M.H.Hosseininia, M.Baleanu, D.2023-11-242023-11-242023Heydari, M.H.; Hosseininia, M.; Baleanu, D. (2023). "An efficient method for 3D Helmholtz equation with complex solution", AIMS Mathematics, Vol8, No.6, pp. 14792-14819.24736988http://hdl.handle.net/20.500.12416/6628The 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.eninfo:eu-repo/semantics/openAccess3D Helmholtz EquationComplex SolutionOrthonormal Shifted Discrete Chebyshev PolynomialsArticle86147921481910.3934/math.2023756