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Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem | ||
| Computational Methods for Differential Equations | ||
| مقاله 7، دوره 7، Issue 4 (Special Issue)، آبان 2019، صفحه 580-588 اصل مقاله (328.11 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Mahmoud Lotfi* 1؛ Amjad AliPanah2 | ||
| 1Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran | ||
| 2Department of Applied Mathematics, University of Kurdisatn | ||
| چکیده | ||
| This work presented here is the solution of the one-dimensional Bratu’s problem. The nonlinear Bratu’s problem is first linearised using the quasi-linearization method and then solved by the spectral element method. We use the Legendre polynomials for interpolation. Finally we show the results with a numerical example. | ||
| کلیدواژهها | ||
| Bratu's problem؛ Quasi-linearization؛ Spectral element method؛ Legendre polynomials | ||
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آمار تعداد مشاهده مقاله: 1,178 تعداد دریافت فایل اصل مقاله: 1,010 |
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