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EXACT SOLUTIONS OF THE NONLINEAR HEAT CONDUCTION EQUATION USING ANALYTICAL APPROACH | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 فروردین 1404 اصل مقاله (1.56 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.64393.2920 | ||
| نویسنده | ||
| Inaam Rikan Hassan* | ||
| University of Information Technology and Communications, (UoITC), Baghdad, Iraq. | ||
| چکیده | ||
| Abstract. This paper presents new solutions to the nonlinear heat equation using the Exp-function method. The method employs exponential form to construct diverse solution models, including one-soliton, two-soliton, hyperbolic, and trigonometric soliton solutions. These solutions are crucial for modeling wave phenomena in studying the stress of water surfaces. By utilizing exponential structures, the complexity of the equation is reduced, and computational efficiency is enhanced. This approach offers a robust framework for solving higherorder nonlinear partial differential equations and provides insights into the behavior of solitons in complex systems. | ||
| کلیدواژه‌ها | ||
| The Exp-function approach؛ The nonlinear heat equation؛ Solitary and soliton solutions | ||
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آمار تعداد مشاهده مقاله: 18 تعداد دریافت فایل اصل مقاله: 54 |
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