Year: 2009
Author: Quang A Dang, Le Tung Son
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 5 : pp. 683–698
Abstract
The solution of boundary value problems (BVP) for fourth order differential equations by their reduction to BVP for second order equations, with the aim to use the available efficient algorithms for the latter ones, attracts attention from many researchers. In this paper, using the technique developed by the authors in recent works we construct iterative method for a problem with complicated mixed boundary conditions for biharmonic equation which is originated from nanofluidic physics. The convergence rate of the method is proved and some numerical experiments are performed for testing its dependence on a parameter appearing in boundary conditions and on the position of the point where a transmission of boundary conditions occurs.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0925
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 5 : pp. 683–698
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Iterative method biharmonic equation mixed boundary conditions.
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