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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan

    Syed Tauseef Mohyud-Din, Waseem Sikander & Naveed Ahmed

  2. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan

    Umar Khan

Authors
  1. Syed Tauseef Mohyud-Din
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  2. Waseem Sikander
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  3. Umar Khan
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  4. Naveed Ahmed
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Correspondence to Umar Khan.

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Mohyud-Din, S.T., Sikander, W., Khan, U. et al. Optimal variational iteration method using Adomian’s polynomials for physical problems on finite and semi-infinite intervals. Eur. Phys. J. Plus 132, 236 (2017). https://doi.org/10.1140/epjp/i2017-11506-9

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  • DOI: https://doi.org/10.1140/epjp/i2017-11506-9

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