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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 6, Page 985
DOI: https://doi.org/10.7868/S0044466915060101 (Mi zvmmf10220) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Numerical approach for solving neutral differential equation with deviating argument

H. Mesgarani, R. Mollapourasl, A. Ostadi

School of Mathematics, Shahid Rajaee Teacher Training University Lavizan, Tehran 16788, Iran
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DOI: https://doi.org/10.7868/S0044466915060101
Abstract: In this article, numerical solution of a neutral differential equation with deviating argument by means of the Sinc scheme and fixed point theorem is considered. Properties of the DE-Sinc and SE-Sinc quadratures are utilized to reduce the computation of the neutral differential equations to an iterative technique. Then convergence of this technique is discussed by preparing a theorem. To guarantee the analytical results and show the efficiency and accuracy of the present method, some examples are presented.
Key words: neutral differential equation, fixed point theorem, measure of noncompactness, Sinc quadrature, numerical solution, convergence.
Received: 15.03.2013
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 6, Pages 969–982
DOI: https://doi.org/10.1134/S0965542515060093
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: English
Citation: H. Mesgarani, R. Mollapourasl, A. Ostadi, “Numerical approach for solving neutral differential equation with deviating argument”, Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015), 985; Comput. Math. Math. Phys., 55:6 (2015), 969–982
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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