On the sinc-Galerkin method for triharmonic boundary-value problems

Amgad Abdrabou; Mohamed El-Gamel

doi:10.1016/j.camwa.2018.04.034

Author(s)

Amgad Abdrabou
Mohamed El-Gamel

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	520-533
Journal / Publication	Computers & Mathematics with Applications
Volume	76
Issue number	3
Online published	21 May 2018
Publication status	Published - 1 Aug 2018

Link(s)

DOI	DOI https://doi.org/10.1016/j.camwa.2018.04.034 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85047065464&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(479f43ae-8eae-41b0-bd22-ac7c682f3fc6).html

Abstract

A numerical scheme is developed to provide an approximate solution to the triharmonic boundary value problem. Based on the sinc inner product approximations, a direct discretization of the triharmonic operator Δ³reduces the problem to a generalized Sylvester equation. Numerical examples illustrate the pertinent features of the sinc-Galerkin method where very accurate results are obtained even when singularities occur at the boundaries.

Research Area(s)

Triharmonic operator, Sinc-Galerkin method, Numerical solution

Citation Format(s)

[ RIS ] [ BibTeX ]

On the sinc-Galerkin method for triharmonic boundary-value problems. / Abdrabou, Amgad; El-Gamel, Mohamed.
In: Computers & Mathematics with Applications, Vol. 76, No. 3, 01.08.2018, p. 520-533 .

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Abdrabou, A & El-Gamel, M 2018, 'On the sinc-Galerkin method for triharmonic boundary-value problems', Computers & Mathematics with Applications, vol. 76, no. 3, pp. 520-533 . https://doi.org/10.1016/j.camwa.2018.04.034

Abdrabou, A., & El-Gamel, M. (2018). On the sinc-Galerkin method for triharmonic boundary-value problems. Computers & Mathematics with Applications, 76(3), 520-533 . Advance online publication. https://doi.org/10.1016/j.camwa.2018.04.034

Abdrabou A, El-Gamel M. On the sinc-Galerkin method for triharmonic boundary-value problems. Computers & Mathematics with Applications. 2018 Aug 1;76(3):520-533 . Epub 2018 May 21. doi: 10.1016/j.camwa.2018.04.034

Abdrabou, Amgad ; El-Gamel, Mohamed. / On the sinc-Galerkin method for triharmonic boundary-value problems. In: Computers & Mathematics with Applications. 2018 ; Vol. 76, No. 3. pp. 520-533 .