A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations

Document Type : Research Paper

Authors

Department of Mathematics, JUIT Solan, Waknaghat-173234, Himachal Pradesh, India.

Abstract

This paper examines the solutions of nonlinear higher-order singular Emden-Fowler type equations arising in various physical models. Generally, it becomes difficult to obtain the solution near the point of singularity. To overcome this problem, an iterative technique is introduced that depends on the variational iteration method (VIM) and the homotopy perturbation method (HPM). Such a technique generates the solution in terms of a series, which is highly practical from computing perspective. An equivalent recursive integral representation (involving Lagrange's multiplier) for the higher order nonlinear singular Emden-Fowler type (SEFT) equations with initial conditions (ICs) is established with the support of the variational iteration method (VIM). Making use of the concept of homotopy, a system of integral equations is established, which helps to deal with nonlinearity. Some numerical examples are studied through the proposed iterative technique to show the applicability and efficiency of the technique.

Keywords

Main Subjects

References

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Computational Methods for Differential Equations
Volume 14, Issue 2
April 2026
Pages 852-868

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History

  • Receive Date: 23 December 2024
  • Revise Date: 15 April 2025
  • Accept Date: 22 April 2025

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