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

Amgad Abdrabou; Mohamed El-Gamel

doi:10.1016/j.camwa.2018.04.034

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

Amgad Abdrabou
, Mohamed El-Gamel^*

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	520-533
Journal	Computers & Mathematics with Applications
Volume	76
Issue number	3
Online published	21 May 2018
DOIs	https://doi.org/10.1016/j.camwa.2018.04.034
Publication status	Published - 1 Aug 2018

Research Keywords

Triharmonic operator
Sinc-Galerkin method
Numerical solution

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title = "On the sinc-Galerkin method for triharmonic boundary-value problems",

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 Δ3 reduces 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.",

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AU - El-Gamel, Mohamed

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N2 - 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 Δ3 reduces 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.

AB - 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 Δ3 reduces 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.

KW - Triharmonic operator

KW - Sinc-Galerkin method

KW - Numerical solution

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DO - 10.1016/j.camwa.2018.04.034

M3 - RGC 21 - Publication in refereed journal

SN - 0898-1221

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SP - 520

EP - 533

JO - Computers & Mathematics with Applications

JF - Computers & Mathematics with Applications

IS - 3

ER -

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

Abstract

Research Keywords

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