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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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 |
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Adomian decomposition method Initial value problems Series solution |
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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 |
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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. |
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36933055900 |
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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 |
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13.222552 |