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- W2393517011 abstract "The Adomian Decomposition Method(ADM)is employed in this paper to solve three dimensional Helmholtz equations under arbitrary wave numbers. Based on the ADM, the three dimensional Helmholtz differential equation becomes a recursive algebraic equation. Furthermore, the boundary conditions become simple algebraic equations which are suitable for symbolic computation. By using boundary conditions, the closed-form series solution can be easily obtained. The main advantages of ADM are computational simplicity and do not involve any linearization or discretization. Finally, two numerical examples are presented to check the reliability of the proposed method for solving the three dimensional Helmholtz equations with different wave numbers. The numerical results on three dimensional problems with known analytic solutions demonstrate that the ADM is quite accurate and readily implemented. Furthermore, the good convergence and the excellent numerical stability of the solution based on the ADM can also be found for high wave numbers. It means that the ADM is quite efficient and is practically well suited for solving three dimensional Helmholtz equations at different wave numbers." @default.
- W2393517011 created "2016-06-24" @default.
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- W2393517011 date "2015-01-01" @default.
- W2393517011 modified "2023-09-24" @default.
- W2393517011 title "Solution for three dimensional Helmholtz equations under arbitrary wave numbers" @default.
- W2393517011 hasPublicationYear "2015" @default.
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