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An efficient high-order compact finite difference method for the Helmholtz equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 11، دوره 8، شماره 3، آبان 2020، صفحه 553-563 اصل مقاله (330.42 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.27993.1382 | ||
| نویسندگان | ||
| Jafar Biazar؛ Roxana Asayesh* | ||
| Department of Applied Mathematics, University of Guilan, P. O. Box. 41635-19141, P. C. 41938336997, Rasht, Iran. | ||
| چکیده | ||
| This paper is devoted to applying the sixth-order compact finite difference approach to the Helmholtz equation. Instead of using matrix inversion, a discrete sinusoidal transform is used as a quick solver to solve the discretized system resulted from the compact finite difference method. Through this way, the computational costs of the method with large numbers of nodes are greatly reduced. The efficiency and accuracy of the scheme are investigated by solving some illustrative examples, having the exact solutions. | ||
| کلیدواژهها | ||
| Helmholtz equation؛ Compact finite difference method؛ Fast discrete sine transform | ||
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آمار تعداد مشاهده مقاله: 474 تعداد دریافت فایل اصل مقاله: 455 |
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