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

Vikash Kumar Sinha () and Prashanth Maroju ()
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Vikash Kumar Sinha: VIT AP University
Prashanth Maroju: VIT AP University

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 1, 230-240

Abstract: 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.

Keywords: Homotopy analysis method; Quasilinearization method; Adomian decomposition method; Emden-Fowler type equation (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-023-00475-2

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