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Noori SKandari, Mohammad Hadi, Ghaznavi, Mehrdad. (1394). CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR BRATU'S PROBLEM. , (), -. doi: 10.22099/ijsts.2015.3473
Mohammad Hadi Noori SKandari; Mehrdad Ghaznavi. "CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR BRATU'S PROBLEM". , , , 1394, -. doi: 10.22099/ijsts.2015.3473
Noori SKandari, Mohammad Hadi, Ghaznavi, Mehrdad. (1394). 'CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR BRATU'S PROBLEM', , (), pp. -. doi: 10.22099/ijsts.2015.3473
Noori SKandari, Mohammad Hadi, Ghaznavi, Mehrdad. CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR BRATU'S PROBLEM. , 1394; (): -. doi: 10.22099/ijsts.2015.3473

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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تعداد مشاهده مقاله: 1,058


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