VIM-Pad´e technique for solving nonlinear and delay initial value problems

Document Type : Research Paper

Authors

1 Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran.

2 Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.

3 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.

4 Faculty of Finance Sciences, Kharazmi University, Tehran, Iran.

Abstract

In this work, we employ a combination of variational iteration method (VIM) and Pad´e approximation method, called the VIM-Pad´e technique, to solve some nonlinear initial value problems and a delay differential equation (DDE). Some examples are provided to illustrate the capability and reliability of the technique. The obtained results by using the VIM are compared to the results of this technique. This comparison shows that VIM-Pad´e technique is more effective than VIM and yields faster convergence compared to the VIM.

Keywords