آمار
| تعداد نشریات | 45 |
| تعداد شمارهها | 1,497 |
| تعداد مقالات | 18,267 |
| تعداد مشاهده مقاله | 59,276,387 |
| تعداد دریافت فایل اصل مقاله | 20,698,910 |
A Robust Semi-analytical Technique for Solving Third-order Non-linear Emden-Fowler Equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 خرداد 1405 اصل مقاله (1.39 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.67058.3179 | ||
| نویسندگان | ||
| Mithilaba M. Chudasama1؛ Yogeshwari F. Patel1؛ Mohammad Izadi* 2 | ||
| 1Department of Mathematical Sciences, P D Patel Institute of Applied Sciences, Charotar University of Science & Technology, Changa, Gujarat-388421, India. | ||
| 2Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran. | ||
| چکیده | ||
| This study presents a robust semi-analytical algorithm for solving third-order nonlinear Emden--Fowler type equations, which frequently arise in astrophysics, chemical reactor theory, and mathematical physics. The proposed algorithm leverages the Differential Transform Method (DTM) to simplify the complexities introduced by nonlinear terms, transforming them into manageable algebraic equations. The novelty of this approach lies in its ability to handle singular behavior at $x=0$ while maintaining high computational efficiency and accuracy. Rigorous error analysis confirms the algorithm's rapid convergence and superior accuracy compared to existing methods. Numerical experiments validate the theoretical predictions, highlighting the algorithm's effectiveness and reliability in solving complex nonlinear differential equations. | ||
| کلیدواژهها | ||
| Non-linear Emden-Fowler equation؛ Differential transform method؛ Error analysis؛ Convergence analysis | ||
|
آمار تعداد مشاهده مقاله: 8 تعداد دریافت فایل اصل مقاله: 8 |
||