An Efficient Computational Technique for Nonlinear Emden-Fowler Equations Arising in Astrophysics and Space Science

  • Sumit Gupta
  • Devendra KumarEmail author
  • Jagdev Singh
  • Sushila
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1111)


In the present article, we suggest an efficient computational scheme to examine nonlinear Emden-Fowler equations arising in astrophysics and space science. The suggested scheme is based on a modified theory of the Adomian polynomials, and the two steps Adomian decomposition technique mixed with the padé approximant. Moreover, a maple software package ADMP is used to apply the suggested computational scheme, which is very simple to perform and well organized. The input of the system requires initial or boundary conditions and many desired parameters to find the analytic approximate solutions within a very short time. The following algorithm does not require linearization, perturbations, guessing the initial terms and any restrictive supposition, which may leads the solutions in closed form. Several examples are discussed to illustrate the reliability of the algorithm.


Emden Fowler equations Lane Emden type equations Astrophysics ADM TSADM Adomian polynomials 



Authors are sincerely thankful to Dr. Yezhi Lin (Department of Computer Science and Technology, East China Normal University, Shanghai 200241, PR China), for his kind help and support to complete the manuscript.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Sumit Gupta
    • 1
  • Devendra Kumar
    • 2
    Email author
  • Jagdev Singh
    • 3
  • Sushila
    • 4
  1. 1.Department of MathematicsSwami Keshvanand Institute of Technology, Management and GramothanJaipurIndia
  2. 2.Department of MathematicsUniversity of RajasthanJaipurIndia
  3. 3.Department of MathematicsJECRC UniversityJaipurIndia
  4. 4.Department of PhysicsVivekananda Global UniversityJaipurIndia

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