Eur. Phys. J. Plus (2017) 132: 236
https://doi.org/10.1140/epjp/i2017-11506-9

Regular Article

Optimal variational iteration method using Adomian’s polynomials for physical problems on finite and semi-infinite intervals

¹ Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan
² Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan

^* e-mail: umarkhan@ciit.net.pk

Received: 8 March 2017
Accepted: 17 April 2017
Published online: 26 May 2017

Abstract

In this study, we introduce a novel modified analytical algorithm for the resolution of boundary value problems on finite and semi-infinite intervals. Our new approach provides great freedom for the identification of the Lagrange multiplier including the auxiliary parameter, which gives a computational advantage for the convergence of approximate solutions. The main advantage of the developed scheme is that it gives convergent approximate solution on semi-infinite intervals. Graphical and numerical results show the complete accuracy and efficiency of the developed scheme.