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
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017
