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
