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

F. Yahaya, I. Hashim, E. S. Ismail, A. K. Zulkifle

Research output: Contribution to journalArticle

8 Citations (Scopus)


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).

Original languageEnglish
Pages (from-to)385-392
Number of pages8
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Issue number3
Publication statusPublished - 01 Jan 2007


All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Modelling and Simulation
  • Engineering (miscellaneous)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Applied Mathematics

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