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Numerical solution of coupled Lane–Emden–Fowler type equation by embedded quasilinearization method with homotopy analysis method

Author

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  • Vikash Kumar Sinha

    (VIT AP University)

  • Prashanth Maroju

    (VIT AP University)

Abstract

This paper aims to study the solution of coupled Emden-Folwer type equations by embedding the quasilinearization algorithm enclosed by the homotopy analysis method. This approach is easy to implement and converges to a solution very fast. The convergence analysis of our method is discussed in Banach space. Some numerical examples are taken to verify the validity, accuracy as well as generality of our proposed method. We calculate the approximate analytic solutions and compare them with the Duan’s Adomian decomposition method [2] and Singh et. al [6]. We observe that our approach gives better accuracy than the existing ADM and equally compete with Singh et. al.

Suggested Citation

  • Vikash Kumar Sinha & Prashanth Maroju, 2025. "Numerical solution of coupled Lane–Emden–Fowler type equation by embedded quasilinearization method with homotopy analysis method," Indian Journal of Pure and Applied Mathematics, Springer, vol. 56(1), pages 230-240, March.
    • Handle: RePEc:spr:indpam:v:56:y:2025:i:1:d:10.1007_s13226-023-00475-2
    DOI: 10.1007/s13226-023-00475-2
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