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Solving inverse Huxley problem using a combined numerical method and improved teaching–learning-based optimization algorithm | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 27 خرداد 1405 اصل مقاله (722.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.34641.5181 | ||
| نویسندگان | ||
| Ahmad Aliyari Boroujeni1؛ Reza Pourgholi* 2؛ Seyed Hashem Tabasi3 | ||
| 1Department of Mathematics and Computer Science, Faculty of Sciences, University of Zanjan, 45371-38791, Zanjan, Iran | ||
| 2School of Mathematics and Computer Science, Damghan University, 36715-364, Damghan, Iran | ||
| 3Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| تاریخ دریافت: 12 تیر 1403، تاریخ بازنگری: 25 آذر 1403، تاریخ پذیرش: 03 فروردین 1404 | ||
| چکیده | ||
| In this paper, inverse Huxley partial differential equations problem is solved using a combination of numerical methods and improved teaching–learning-based optimization (ITLBO) meta-heuristic algorithm. The ITLBO algorithm, which is a population-oriented algorithm, is very efficient for solving inverse problems by increasing the discovery capacity and diversity of input data. In the method presented in this article, by considering each input data of the ITLBO algorithm as an answer for inverse Huxley problem, the problem is solved by numerical methods. The results obtained from the implementation of the combination of the numerical method and the ITLBO algorithm show that it is possible to get accurate answers for inverse Huxley problem without guessing the function type of the inverse problem. The results also indicate that combining Implicit and Explicit numerical methods, along with the features of the ITLBO algorithm, which searches across various intervals, can lead to solving inverse problems like Huxley without considering the type of the unknown function. The exact results obtained from the implementation of the presented method were obtained on a 2.5 GHz 4-core Intel CPU. | ||
| کلیدواژهها | ||
| Inverse problems؛ Huxley equation؛ ITLBO algorithm؛ Numerical method | ||
| مراجع | ||
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