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A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials

In this study, a novel matrix method based on collocation points is proposed to solve some linear and nonlinear integro-differential equations with variable coefficients under the mixed conditions. The solutions are obtained by means of Dickson and Taylor polynomials. The presented method transforms...

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Main Authors: Kürkçü, Ömür Kivanç, Aslan, Ersin, Sezer, Mehmet
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2017
Online Access:http://journalarticle.ukm.my/10687/1/19%20Omur%20Kivanc.pdf
http://journalarticle.ukm.my/10687/
http://www.ukm.my/jsm/english_journals/vol46num2_2017/contentsVol46num2_2017.html
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spelling my-ukm.journal.106872017-09-20T09:02:52Z http://journalarticle.ukm.my/10687/ A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials Kürkçü, Ömür Kivanç Aslan, Ersin Sezer, Mehmet In this study, a novel matrix method based on collocation points is proposed to solve some linear and nonlinear integro-differential equations with variable coefficients under the mixed conditions. The solutions are obtained by means of Dickson and Taylor polynomials. The presented method transforms the equation and its conditions into matrix equations which comply with a system of linear algebraic equations with unknown Dickson coefficients, via collocation points in a finite interval. While solving the matrix equation, the Dickson coefficients and the polynomial approximation are obtained. Besides, the residual error analysis for our method is presented and illustrative examples are given to demonstrate the validity and applicability of the method. Penerbit Universiti Kebangsaan Malaysia 2017-02 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/10687/1/19%20Omur%20Kivanc.pdf Kürkçü, Ömür Kivanç and Aslan, Ersin and Sezer, Mehmet (2017) A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials. Sains Malaysiana, 46 (2). pp. 335-347. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol46num2_2017/contentsVol46num2_2017.html
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description In this study, a novel matrix method based on collocation points is proposed to solve some linear and nonlinear integro-differential equations with variable coefficients under the mixed conditions. The solutions are obtained by means of Dickson and Taylor polynomials. The presented method transforms the equation and its conditions into matrix equations which comply with a system of linear algebraic equations with unknown Dickson coefficients, via collocation points in a finite interval. While solving the matrix equation, the Dickson coefficients and the polynomial approximation are obtained. Besides, the residual error analysis for our method is presented and illustrative examples are given to demonstrate the validity and applicability of the method.
format Article
author Kürkçü, Ömür Kivanç
Aslan, Ersin
Sezer, Mehmet
spellingShingle Kürkçü, Ömür Kivanç
Aslan, Ersin
Sezer, Mehmet
A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials
author_facet Kürkçü, Ömür Kivanç
Aslan, Ersin
Sezer, Mehmet
author_sort Kürkçü, Ömür Kivanç
title A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials
title_short A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials
title_full A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials
title_fullStr A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials
title_full_unstemmed A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials
title_sort novel collocation method based on residual error analysis for solving integro-differential equations using hybrid dickson and taylor polynomials
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2017
url http://journalarticle.ukm.my/10687/1/19%20Omur%20Kivanc.pdf
http://journalarticle.ukm.my/10687/
http://www.ukm.my/jsm/english_journals/vol46num2_2017/contentsVol46num2_2017.html
_version_ 1643738218938499072
score 13.244413

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