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-, Jyoti, Singh, Mandeep. (1405). A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations. سامانه مدیریت نشریات علمی, 14(2), 852-868. doi: 10.22034/cmde.2025.65131.2979
Jyoti -; Mandeep Singh. "A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations". سامانه مدیریت نشریات علمی, 14, 2, 1405, 852-868. doi: 10.22034/cmde.2025.65131.2979
-, Jyoti, Singh, Mandeep. (1405). 'A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations', سامانه مدیریت نشریات علمی, 14(2), pp. 852-868. doi: 10.22034/cmde.2025.65131.2979
-, Jyoti, Singh, Mandeep. A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations. سامانه مدیریت نشریات علمی, 1405; 14(2): 852-868. doi: 10.22034/cmde.2025.65131.2979

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

Computational Methods for Differential Equations
مقاله 22، دوره 14، شماره 2، تیر 2026، صفحه 852-868    اصل مقاله (458.65 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.65131.2979
نویسندگان
Jyoti -؛ Mandeep Singh*
Department of Mathematics, JUIT Solan, Waknaghat-173234, Himachal Pradesh, India.
چکیده
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.
کلیدواژه‌ها
Emden-Fowler equations؛ Variational iteration method؛ Convergence analysis؛ Lagrange's multiplier؛ Homotopy perturbation method؛ Initial value problems
مراجع
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