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Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method

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  • S. Gh. Hosseini
  • S. Abbasbandy

Abstract

The application of a new modified Adomian decomposition method for obtaining the analytic solution of Lane-Emden type equations is investigated. The proposed method, called the spectral Adomian decomposition method, is based on a combination of spectral method and Adomian decomposition method. A comparative study between the proposed method and Adomian decomposition method is presented. The obtained result reveals that method is of higher efficiency, validity, and accuracy.

Suggested Citation

  • S. Gh. Hosseini & S. Abbasbandy, 2015. "Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, April.
    • Handle: RePEc:hin:jnlmpe:534754
    DOI: 10.1155/2015/534754
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    Cited by:

    1. Lie-jun Xie & Cai-lian Zhou & Song Xu, 2019. "Solving the Systems of Equations of Lane-Emden Type by Differential Transform Method Coupled with Adomian Polynomials," Mathematics, MDPI, vol. 7(4), pages 1-16, April.

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