Publication: Direct solutions of N-th order initial value problems in decomposition series
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Date
2007
Authors
Yahaya F.
Hashim I.
Ismail E.S.
Zulkifle A.K.
Journal Title
Journal ISSN
Volume Title
Publisher
Freund Publishing House Ltd
Abstract
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.
Description
Keywords
Adomian decomposition method , Initial value problems , Series solution