Approximate solution of a differential equation arising in astrophysics using the variational iteration method

By Mehdi Dehghan, Fatemeh Shakeri. 2008

249 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d9380f66bf5ab177da9a054465e10fdef0058a10

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

In Numerical Analysis

In Statistical and Nonlinear Physics

Citations in the corpus

The use of He's variational iteration method for solving the telegraph and fractional telegraph equations (2011, methodology): “The variational iteration method is used in [30] for solving the Lane–Emden equation, in [31] to solve several problems in calculus of variations, in [32] to find the solution of an inverse problem in partial differential equations, in [33] to solve a system of nonlinear integro-differential equatio”
Four techniques based on the B‐spline expansion and the collocation approach for the numerical solution of the Lane–Emden equation (2013, methodology): “Also, note there are large number of numerical simulations of the Lane–Emden equation [1], which have been performed by many authors.”
Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities (2015, methodology): “It is well known that many well known methods have been established in scientific fields and engineering to determine the solutions with distinct physical structures [1–15].”
Modified generalized Laguerre function Tau method for solving laminar viscous flow: The Blasius equation (2010, methodology): “employed the variational iteration method ( Dehghan and Shakeri, 2008”
A Jacobi–Gauss collocation method for solving nonlinear Lane–Emden type equations (2012, background): “This equation is one of the basic equations in the theory of stellar structure and has been the focus of many studies [2,3,9,12,20,30,31,33,34].”
Solving nonlinear fractional partial differential equations using the homotopy analysis method (2010, methodology): “Wazwaz [23], examined the KdV, the K(2, 2), the Burgers, and the cubic Boussinesq equations by using variational iteration method (VIM) [40–51].”
Application of the Variational Iteration Method for System of Nonlinear Volterra’s Integro-Differential Equations (2009, methodology): “It was successfully applied to autonomous ordinary differential equation [4], to nonlinear partial differential equations with variable coefficients [5], to SchrödingerKDV, generalized KDV and shallow water equations [6], to Burgers' and coupled Burgers' equations [7], to the linear Helmoltz partial”