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Direct solutions of N-th order initial value problems in decomposition series

In this paper, a class of linear and non-linear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by adapting the modified Adomian decomposition method (MADM) as an algorithm for approximating the solutions of the equations in a sequence of time interval...

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Main Authors:	Yahaya F., Hashim I., Ismail E.S., Zulkifle A.K.
Other Authors:	36933055900
Format:	Article
Published:	Freund Publishing House Ltd 2023
Subjects:	Adomian decomposition method Initial value problems Series solution
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id	my.uniten.dspace-29785
record_format	dspace
spelling	my.uniten.dspace-297852023-12-28T16:57:40Z Direct solutions of N-th order initial value problems in decomposition series Yahaya F. Hashim I. Ismail E.S. Zulkifle A.K. 36933055900 10043682500 10045432900 7801341335 Adomian decomposition method Initial value problems Series solution In this paper, a class of linear and non-linear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by adapting the modified Adomian decomposition method (MADM) as an algorithm for approximating the solutions of the equations in a sequence of time intervals (i.e. time steps). In this way the series solutions are valid for quite a long time span. Several test cases are chosen to demonstrate the performance of the multistage modified Adomian decomposition method (MMADM). �Freund Publishing House Ltd. Final 2023-12-28T08:57:40Z 2023-12-28T08:57:40Z 2007 Article 10.1515/IJNSNS.2007.8.3.385 2-s2.0-34548575151 https://www.scopus.com/inward/record.uri?eid=2-s2.0-34548575151&doi=10.1515%2fIJNSNS.2007.8.3.385&partnerID=40&md5=dc9b7ed07d564861ab9298d4cc6497ac https://irepository.uniten.edu.my/handle/123456789/29785 8 3 385 392 Freund Publishing House Ltd Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	Adomian decomposition method Initial value problems Series solution
spellingShingle	Adomian decomposition method Initial value problems Series solution Yahaya F. Hashim I. Ismail E.S. Zulkifle A.K. Direct solutions of N-th order initial value problems in decomposition series
description	In this paper, a class of linear and non-linear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by adapting the modified Adomian decomposition method (MADM) as an algorithm for approximating the solutions of the equations in a sequence of time intervals (i.e. time steps). In this way the series solutions are valid for quite a long time span. Several test cases are chosen to demonstrate the performance of the multistage modified Adomian decomposition method (MMADM). �Freund Publishing House Ltd.
author2	36933055900
author_facet	36933055900 Yahaya F. Hashim I. Ismail E.S. Zulkifle A.K.
format	Article
author	Yahaya F. Hashim I. Ismail E.S. Zulkifle A.K.
author_sort	Yahaya F.
title	Direct solutions of N-th order initial value problems in decomposition series
title_short	Direct solutions of N-th order initial value problems in decomposition series
title_full	Direct solutions of N-th order initial value problems in decomposition series
title_fullStr	Direct solutions of N-th order initial value problems in decomposition series
title_full_unstemmed	Direct solutions of N-th order initial value problems in decomposition series
title_sort	direct solutions of n-th order initial value problems in decomposition series
publisher	Freund Publishing House Ltd
publishDate	2023
_version_	1806426415926607872
score	13.211869

Direct solutions of N-th order initial value problems in decomposition series

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