التفاصيل البيبلوغرافية
| العنوان: |
Simulations and analysis of underwater acoustic wave propagation model based on Helmholtz equation. |
| المؤلفون: |
Alanazi, Maryam Ahmed1 222403007@student.kfu.edu.sa, Ali, Ishtiaq1 |
| المصدر: |
Applied Mathematics in Science & Engineering. Dec2024, Vol. 32 Issue 1, p1-18. 18p. |
| مصطلحات موضوعية: |
*ACOUSTIC wave propagation, *HELMHOLTZ equation, *ELLIPTIC differential equations, *CHEBYSHEV polynomials, *COLLOCATION methods |
| مستخلص: |
In this study, we explore the effectiveness of elliptic partial differential equations (PDEs) in two and three dimensional space based on Helmholtz equation for simulations of acoustic sound in a very complex environment of propagation. For this purpose, we use an advance and robust numerical technique by utilizing the properties of shifted Chebyshev spectral collocation method. This technique is an extension of the traditional Chebyshev polynomials, incorporating a shift in their argument to enhance flexibility across a wider domain, while retaining an extraordinary numerical characteristic such as orthogonality and spectral convergence making them exceptionally effective in finding the approximate solutions. The exponential order of convergence of the proposed approach is shown both through theoretical and numerical approaches. We provide a number of numerical experiments to verify the theoretical results. The spectral convergence has been substantially enhanced by these numerical examples. The exponential order is further validated by numerical error behaviour in both L2 and L∞ norms. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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