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

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dc.citedby8
dc.contributor.authorYahaya F.en_US
dc.contributor.authorHashim I.en_US
dc.contributor.authorIsmail E.S.en_US
dc.contributor.authorZulkifle A.K.en_US
dc.contributor.authorid36933055900en_US
dc.contributor.authorid10043682500en_US
dc.contributor.authorid10045432900en_US
dc.contributor.authorid7801341335en_US
dc.date.accessioned2023-12-28T08:57:40Z
dc.date.available2023-12-28T08:57:40Z
dc.date.issued2007
dc.description.abstractIn 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.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1515/IJNSNS.2007.8.3.385
dc.identifier.epage392
dc.identifier.issue3
dc.identifier.scopus2-s2.0-34548575151
dc.identifier.spage385
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-34548575151&doi=10.1515%2fIJNSNS.2007.8.3.385&partnerID=40&md5=dc9b7ed07d564861ab9298d4cc6497ac
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/29785
dc.identifier.volume8
dc.pagecount7
dc.publisherFreund Publishing House Ltden_US
dc.sourceScopus
dc.sourcetitleInternational Journal of Nonlinear Sciences and Numerical Simulation
dc.subjectAdomian decomposition method
dc.subjectInitial value problems
dc.subjectSeries solution
dc.titleDirect solutions of N-th order initial value problems in decomposition seriesen_US
dc.typeArticleen_US
dspace.entity.typePublication
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