期刊
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
卷 448, 期 4, 页码 3093-3104出版社
OXFORD UNIV PRESS
DOI: 10.1093/mnras/stv198
关键词
astroparticle physics; hydrodynamics; methods: analytical
In this paper, we implement the new iterative method proposed by Daftardar-Gejji and Jafari namely new iterative method (DJM) to solve the linear and non-linear Volterra integro-differential equations and systems of linear and non-linear Volterra integro-differential equations. The applications of the DJM for solving the resulting equations of the non-linear Volterra integro-differential equations forms of the Lane-Emden equations are presented. The Volterra integro-differential equations forms of the Lane-Emden equation overcome the singular behaviour at the origin x = 0 of the original differential equation. Some examples are solved and different cases of the Lane-Emden equations of first kind are presented. Moreover, the DJM is applied to solve the system of the linear and non-linear Volterra integro-differential forms of the Lane-Emden equations. The results demonstrate that the method has many merits such as being derivative-free, and overcoming the difficulty arising in calculating Adomian polynomials to handle the non-linear terms in Adomian Decomposition Method (ADM). It does not require to calculate Lagrange multiplier in Variational Iteration Method (VIM) and no need to construct a homotopy in Homotopy Perturbation Method (HPM) and solve the corresponding algebraic equations.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据