An efficient and accurate modified Adomian decomposition method for solving the Helmholtz equation with high-wavenumber
This paper presents a modified Adomian decomposition method (MADM) for solving the one and two-dimensional Helmholtz equation with large wavenumbers. The standard Adomian decomposition method (ADM) suffers from severe divergence issues as the wavenumber increases, which limits its applicability for...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University Constantin Brancusi of Targu-Jiu
2024-04-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | https://www.utgjiu.ro/math/sma/v19/p19_08.pdf |
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| Summary: | This paper presents a modified Adomian decomposition method (MADM) for solving the one and two-dimensional Helmholtz equation with large wavenumbers. The standard Adomian decomposition method (ADM) suffers from severe divergence issues as the wavenumber increases, which limits its applicability for high-frequency problems. MADM overcomes this drawback by introducing a novel modification technique that enhances the convergence and accuracy of the solution. Several numerical examples are provided to demonstrate the effectiveness and superiority of MADM over ADM for solving the Helmholtz equation with various boundary conditions and wavenumbers. |
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| ISSN: | 1843-7265 1842-6298 |