Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations

We use the continuous Legendre multi-wavelets on the interval [0, 1)to solve the linear integro-differential equation. To do so, we reduced the problem into a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. Comparison...

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Main Authors: Abbas, Zulkifly, Vahdati, Saeed, Mohd Atan, Kamel Ariffin, Nik Long, Nik Mohd Asri
Format: Article
Language:English
English
Published: Hikari Ltd 2009
Online Access:http://psasir.upm.edu.my/id/eprint/7011/
http://psasir.upm.edu.my/id/eprint/7011/1/103.pdf
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author Abbas, Zulkifly
Vahdati, Saeed
Mohd Atan, Kamel Ariffin
Nik Long, Nik Mohd Asri
author_facet Abbas, Zulkifly
Vahdati, Saeed
Mohd Atan, Kamel Ariffin
Nik Long, Nik Mohd Asri
author_sort Abbas, Zulkifly
building UPM Institutional Repository
collection Online Access
description We use the continuous Legendre multi-wavelets on the interval [0, 1)to solve the linear integro-differential equation. To do so, we reduced the problem into a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. Comparison has been done with two other methods and it shows that the accuracy of these results are higher than them
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format Article
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institution Universiti Putra Malaysia
institution_category Local University
language English
English
last_indexed 2025-11-15T07:27:58Z
publishDate 2009
publisher Hikari Ltd
recordtype eprints
repository_type Digital Repository
spelling upm-70112013-05-27T07:33:04Z http://psasir.upm.edu.my/id/eprint/7011/ Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations Abbas, Zulkifly Vahdati, Saeed Mohd Atan, Kamel Ariffin Nik Long, Nik Mohd Asri We use the continuous Legendre multi-wavelets on the interval [0, 1)to solve the linear integro-differential equation. To do so, we reduced the problem into a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. Comparison has been done with two other methods and it shows that the accuracy of these results are higher than them Hikari Ltd 2009 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7011/1/103.pdf Abbas, Zulkifly and Vahdati, Saeed and Mohd Atan, Kamel Ariffin and Nik Long, Nik Mohd Asri (2009) Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations. Applied Mathematical Sciences, 3 (14). pp. 693-700. ISSN 1312-885X http://www.m-hikari.com/ams/ams-password-2009/ams-password13-16-2009/vahdatiAMS13-16-2009.pdf English
spellingShingle Abbas, Zulkifly
Vahdati, Saeed
Mohd Atan, Kamel Ariffin
Nik Long, Nik Mohd Asri
Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations
title Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations
title_full Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations
title_fullStr Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations
title_full_unstemmed Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations
title_short Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations
title_sort legendre multi-wavelets direct method for linear integro-differential equations
url http://psasir.upm.edu.my/id/eprint/7011/
http://psasir.upm.edu.my/id/eprint/7011/
http://psasir.upm.edu.my/id/eprint/7011/1/103.pdf