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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 5, Page 822
DOI: https://doi.org/10.7868/S0044466915050117 (Mi zvmmf10204) 		 
This article is cited in 3 scientific papers (total in 3 papers)

An effective method for numerical solution and numerical derivatives for sixth order two-point boundary value problems

Feng-Gong Lang, Xiao-Ping Xu

School of Mathematical Sciences, Ocean University of China, Qingdao, Shandong, 266100, People’s Republic of China
Full-text PDF (95 kB) Citations (3)
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DOI: https://doi.org/10.7868/S0044466915050117
Abstract: In this paper, we study an effective quintic polynomial spline method for numerical solution, and first order to fifth order numerical derivatives of the analytic solution at the knots for a class of sixth order two-point boundary value problems. Our new method is based on a quintic spline interpolation problem. It is easy to implement and is able to provide sixth order accurate numerical results at the knots. Numerical tests show that our method is very practical and effective.
Key words: sixth order two-point boundary value problem, quintic spline, numerical solution, numerical derivative.
Received: 22.05.2013
Revised: 08.07.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 5, Pages 811–822
DOI: https://doi.org/10.1134/S0965542515050115
Bibliographic databases:
Document Type: Article
UDC: 519.624.3
MSC: 65L12
Language: English
Citation: Feng-Gong Lang, Xiao-Ping Xu, “An effective method for numerical solution and numerical derivatives for sixth order two-point boundary value problems”, Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015), 822; Comput. Math. Math. Phys., 55:5 (2015), 811–822
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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