TY - GEN
T1 - Numerical solution of Painlev̀e equation i by optimal homotopy asymptotic method
AU - Mabood, Fazle
AU - Md Ismail, Ahmad Izani
AU - Hashim, Ishak
PY - 2013
Y1 - 2013
N2 - The Painlev̀e 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 Painlev̀e 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.
AB - The Painlev̀e 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 Painlev̀e 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.
KW - Nonlinear ordinary differential equation
KW - Optimal Homotopy Asymptotic method
KW - Painlev?e equation
UR - https://www.scopus.com/pages/publications/84876912230
U2 - 10.1063/1.4801183
DO - 10.1063/1.4801183
M3 - Conference contribution
AN - SCOPUS:84876912230
SN - 9780735411500
T3 - AIP Conference Proceedings
SP - 630
EP - 635
BT - Proceedings of the 20th National Symposium on Mathematical Sciences, SKSM 2012 - Research in Mathematical Sciences
T2 - 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
Y2 - 18 December 2012 through 20 December 2012
ER -