Optimal variational iteration method using Adomian’s polynomials for physical problems on finite and semi-infinite intervals
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan
2 Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
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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