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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 12, paper published in the English version journal (Mi zvmmf11339)  

This article is cited in 16 scientific papers (total in 16 papers)

Papers published in the English version of the journal

Two novel Bessel matrix techniques to solve the squeezing flow problem between infinite parallel plates

M. Izadia, Ş. Yüzbaşib, W. Adelcd

a Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
b Department of Mathematics, Faculty of Science, Akdeniz University, TR 07058, Antalya, Turkey
c Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, 35516, Mansoura, Egypt
d Université Française d’Egypte, Ismailia Desert Road, El Shorouk, Cairo, Egypt
Citations (16)
Abstract: This study is concerned with the numerical solutions of the squeezing flow problem which corresponds to fourth-order nonlinear equivalent ordinary differential equations with boundary conditions. We have two goals to obtain numerical solutions to the problem in this paper. One of them is to obtain numerical solutions based on the Bessel polynomials of the squeezing flow problem using a collocation method. We call this method the direct method based on the Bessel polynomials. The direct method converts the squeezing flow problem into a system of nonlinear algebraic equations. Next, we aimed to transform the original non-linear problem into a sequence of linear equations with the aid of the technique of quasilinearization then we solve the obtained linear problem by using the Bessel collocation approach. This technique is called the QLM-Bessel method. Both of these techniques produce accurate results when compared to other methods. Error analysis in the weighted $L_2$ and $L_\infty$ norms is presented for the Bessel collocation scheme. Lastly, numerical applications are made on examples and also numerical outcomes are compared with other results available in the literature. It is observe that our results are effective according to other results and also QLM-Bessel method is better than the direct Bessel method.
Key words: nonlinear differential equations, squeezing flow problem, Bessel functions, collocation method, error analysis, the technique of quasilinearization.
Received: 02.06.2021
Revised: 14.09.2021
Accepted: 20.10.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 12, Pages 2034–2053
DOI: https://doi.org/10.1134/S096554252131002X
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. Izadi, Ş. Yüzbaşi, W. Adel, “Two novel Bessel matrix techniques to solve the squeezing flow problem between infinite parallel plates”, Comput. Math. Math. Phys., 61:12 (2021), 2034–2053
Citation in format AMSBIB
\Bibitem{IzaYuzAde21}
\by M.~Izadi, \c S.~Y\"uzba{\c s}i, W.~Adel
\paper Two novel Bessel matrix techniques to solve the squeezing flow problem between infinite parallel plates
\jour Comput. Math. Math. Phys.
\yr 2021
\vol 61
\issue 12
\pages 2034--2053
\mathnet{http://mi.mathnet.ru/zvmmf11339}
\crossref{https://doi.org/10.1134/S096554252131002X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000742039500010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85122943092}
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  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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