Title of article :
VIM-Pade technique for solving nonlinear and delay initial value problems
Author/Authors :
Torabi Giklou, Asadollah Department of Mathematics - Guilan Science and Research Branch - Islamic Azad University - Rasht, Iran , Ranjbar, Mojtaba Department of Mathematics - Azarbaijan Shahid Madani University - Tabriz, Iran , Roomi, Vahid Department of Mathematics - Azarbaijan Shahid Madani University - Tabriz, Iran
Abstract :
In this work, we employ a combination of variational iteration method (VIM) and Pade approximation method, called the VIM-Pade technique, to solve some nonlin-
ear initial value problems and a delay differential equation (DDE). Some examples
are provided to illustrate the capability and reliability of the technique. The ob-
tained results by using the VIM are compared to the results of this technique. This
comparison shows that VIM-Pade technique is more effective than VIM and yields
faster convergence compared to the VIM.
Keywords :
Nonlinear initial value problem , Delay differential equation , Variational iteration method , Pade technique , VIM , Pade technique
Journal title :
Computational Methods for Differential Equations