Departmant of Mathematics,Payame Noor University,Tehran,Iran
Abstract
This paper concerns He's Homotopy Perturbation Method (HPM) which has been applied to solve some nonlinear differential equations. In HPM, at first, we construct a homotopy that satisfies an equation which is called the perturbation equation. Moreover, in this method, the solution is considered as power series in $p$. By substituting this series into an equation and equating the coefficient of the terms with identical powers of $p$, the researcher obtained a set of equations. These equations can be solved in various methods. Here Adomian decomposition method (ADM) is employed for solving equations, obtained from the homotopy perturbation method.
Khaleghizadeh,S . (2022). Homotopy Perturbation Method with the help of Adomian decomposition method for nonlinear problems. Mathematical Analysis and its Contemporary Applications, 4(1), 45-51. doi: 10.30495/maca.2021.1944809.1038
MLA
Khaleghizadeh,S . "Homotopy Perturbation Method with the help of Adomian decomposition method for nonlinear problems", Mathematical Analysis and its Contemporary Applications, 4, 1, 2022, 45-51. doi: 10.30495/maca.2021.1944809.1038
HARVARD
Khaleghizadeh S. (2022). 'Homotopy Perturbation Method with the help of Adomian decomposition method for nonlinear problems', Mathematical Analysis and its Contemporary Applications, 4(1), pp. 45-51. doi: 10.30495/maca.2021.1944809.1038
CHICAGO
S Khaleghizadeh, "Homotopy Perturbation Method with the help of Adomian decomposition method for nonlinear problems," Mathematical Analysis and its Contemporary Applications, 4 1 (2022): 45-51, doi: 10.30495/maca.2021.1944809.1038
VANCOUVER
Khaleghizadeh S. Homotopy Perturbation Method with the help of Adomian decomposition method for nonlinear problems. MACA. 2022;4(1):45-51. doi: 10.30495/maca.2021.1944809.1038
