A note on integral transforms and differential equations

In this work a new integral transform, namely Sumudu transform was applied to solve linear ordinary differential equations with constant coefficients with convolution terms. Further in order to generate a pde with non constant coefficients, the convolutions were used and solutions were demonstrated.

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Main Authors: Kilicman, Adem, Eltayeb, Hassan, Ismail, Mat Rofa
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2012
Online Access:http://psasir.upm.edu.my/id/eprint/39035/1/39035.pdf
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spelling oai:psasir.upm.edu.my:39035 http://psasir.upm.edu.my/id/eprint/39035/ A note on integral transforms and differential equations Kilicman, Adem Eltayeb, Hassan Ismail, Mat Rofa In this work a new integral transform, namely Sumudu transform was applied to solve linear ordinary differential equations with constant coefficients with convolution terms. Further in order to generate a pde with non constant coefficients, the convolutions were used and solutions were demonstrated. Institute for Mathematical Research, Universiti Putra Malaysia 2012-08 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/39035/1/39035.pdf Kilicman, Adem and Eltayeb, Hassan and Ismail, Mat Rofa (2012) A note on integral transforms and differential equations. Malaysian Journal of Mathematical Sciences, 6 (S). pp. 1-18. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol6S/1.%20adem%20et%20al.pdf
institution UPM IR
collection UPM IR
language English
description In this work a new integral transform, namely Sumudu transform was applied to solve linear ordinary differential equations with constant coefficients with convolution terms. Further in order to generate a pde with non constant coefficients, the convolutions were used and solutions were demonstrated.
format Article
author Kilicman, Adem
Eltayeb, Hassan
Ismail, Mat Rofa
spellingShingle Kilicman, Adem
Eltayeb, Hassan
Ismail, Mat Rofa
A note on integral transforms and differential equations
author_facet Kilicman, Adem
Eltayeb, Hassan
Ismail, Mat Rofa
author_sort Kilicman, Adem
title A note on integral transforms and differential equations
title_short A note on integral transforms and differential equations
title_full A note on integral transforms and differential equations
title_fullStr A note on integral transforms and differential equations
title_full_unstemmed A note on integral transforms and differential equations
title_sort note on integral transforms and differential equations
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/39035/1/39035.pdf
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score 13.4562235