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CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR BRATU'S PROBLEM | ||
| Iranian Journal of Science | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 05 دی 1394 | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3473 | ||
| نویسندگان | ||
| Mohammad Hadi Noori SKandari* ؛ Mehrdad Ghaznavi | ||
| Faculty of Mathematical Sciences, University of Shahrood, Shahrood, Iran | ||
| چکیده | ||
| In this paper, the Chebyshev pseudo-spectral (CPS) method is proposed for solving a class of boundary value problems. Especially, we apply the CPS method for the Bratu's problem and obtain an approximate solution for this problem. The obtained solution can approximate the exact solution very accurately. By providing some theorems, we survey the feasibility and convergence of approximate solutions. The approximate results are compared with many other available methods. By calculating absolute errors, we show efficiency of the method with respect to the other methods. | ||
| کلیدواژهها | ||
| Bratu's problem؛ Chebyshev pseudo-spectral method؛ Nonlinear programming؛ Discrete and continuous time optimization | ||
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آمار تعداد مشاهده مقاله: 1,130 |
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