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Optimization functions for neural network-based approximation of Burger’s–Fisher equation: A comparative analysis | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 01 تیر 1404 اصل مقاله (356.42 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34512.5156 | ||
| نویسندگان | ||
| Hanieh Hajinezhad1؛ Abulfazl Yavari* 2؛ Seyyed Mohammad Reza Hashemi3 | ||
| 1Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| 2Department of Computer Engineering and IT, Payame Noor University, Tehran, Iran | ||
| 3Faculty of Mathematics, Statistics Computer Science, Semnan University, Semnan, Iran | ||
| تاریخ دریافت: 02 تیر 1403، تاریخ پذیرش: 05 شهریور 1403 | ||
| چکیده | ||
| This study explores the effectiveness of different optimization functions for approximating the solution of Burger’s–Fisher equation with initial and boundary conditions based on neural networks. It compares and analyzes the performance of nine common optimization functions, emphasizing computational accuracy. Extensive experiments show that the choice of appropriate optimization function significantly influences the performance of neural network-based solvers for approximating the solution of Burger’s–Fisher equation with initial and boundary conditions. The findings provide valuable insights and practical recommendations for researchers applying neural networks to solve Berger's equation in fields such as fluid dynamics and heat transfer. | ||
| کلیدواژه‌ها | ||
| Burger’s–Fisher equation؛ Neural networks؛ Optimization functions | ||
| مراجع | ||
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