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New applications of Adomian decomposition method

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  • El-Wakil, S.A.
  • Abdou, M.A.

Abstract

In this article, we have discussed a new application of Adomian decomposition method on nonlinear physical equations. The models of interest in physics are considered and solved by means of Adomian decomposition method. The behaviour of Adomian solutions and the effects of different values of t are investigated. Numerical illustrations that include nonlinear physical models are investigated to show the pertinent features of the technique.

Suggested Citation

  • El-Wakil, S.A. & Abdou, M.A., 2007. "New applications of Adomian decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 513-522.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:513-522
    DOI: 10.1016/j.chaos.2005.12.037
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    Cited by:

    1. Ramos, J.I., 2009. "Piecewise-adaptive decomposition methods," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1623-1636.
    2. Odibat, Zaid, 2020. "An optimized decomposition method for nonlinear ordinary and partial differential equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    3. El-Wakil, S.A. & Abulwafa, Essam M. & Abdou, M.A., 2009. "An improved variational iteration method for solving coupled KdV and Boussinesq-like B(m,n) equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1324-1334.
    4. Al-Mdallal, Qasem M., 2009. "An efficient method for solving fractional Sturm–Liouville problems," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 183-189.
    5. Dehghan, Mehdi & Shakourifar, Mohammad & Hamidi, Asgar, 2009. "The solution of linear and nonlinear systems of Volterra functional equations using Adomian–Pade technique," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2509-2521.

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