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Numerical solution of Painlev̀e equation I by optimal homotopy asymptotic method

Authors: Fazle Mabood; Ahmad Izani Md Ismail; Ishak Hashim;

Numerical solution of Painlev̀e equation I by optimal homotopy asymptotic method

Abstract

The Painleve equations are second order ordinary differential equations which can be grouped into six families, namely Painlev'e equation I, II, ..., VI. In this paper, we employed the Optimal Homotopy Asymptotic Method (OHAM) to find the approximate solution of Painleve equation I. The results obtained by OHAM are compared with those obtained by Homotopy Perturbation Method (HPM), Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM), and excellent agreement has been found.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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