Solving Differential Equations Using Modified VIM

Subject Areas : International Journal of Industrial Mathematics

F.  Goharee ¹ (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran,Iran)
E.  Babolian ² (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran,Iran)

Received: 2013-11-14 Accepted : 2013-11-14 Published : 2014-04-01

Keywords: Variational iteration method, Du&#x0E, ng equation, Riccati Equation, Taylor expansion, Chebyshev expansion,

Abstract :

In this paper a modification of He's variational iteration method (VIM) has been employed to solve Dung and Riccati equations. Sometimes, it is not easy or even impossible, to obtain the first few iterations of VIM, therefore, we suggest to approximate the integrand by using suitable expansions such as Taylor or Chebyshev expansions.