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A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 اردیبهشت 1404 اصل مقاله (1.15 M) | ||
| 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 | ||
| Variational iteration method؛ Convergence analysis؛ Lagrange's multiplier؛ Homotopy perturbation method؛ Initial value problems | ||
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