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طبسی, سید هاشم, Pourgholi, Reza, فتحعلی نژادفانی, امین. (1402). Flea search as a new meta-heuristic algorithm for solving inverse heat conduction problems. , (), -. doi: 10.30495/jnrm.2023.71537.2376
سید هاشم طبسی; Reza Pourgholi; امین فتحعلی نژادفانی. "Flea search as a new meta-heuristic algorithm for solving inverse heat conduction problems". , , , 1402, -. doi: 10.30495/jnrm.2023.71537.2376
طبسی, سید هاشم, Pourgholi, Reza, فتحعلی نژادفانی, امین. (1402). 'Flea search as a new meta-heuristic algorithm for solving inverse heat conduction problems', , (), pp. -. doi: 10.30495/jnrm.2023.71537.2376
طبسی, سید هاشم, Pourgholi, Reza, فتحعلی نژادفانی, امین. Flea search as a new meta-heuristic algorithm for solving inverse heat conduction problems. , 1402; (): -. doi: 10.30495/jnrm.2023.71537.2376

Flea search as a new meta-heuristic algorithm for solving inverse heat conduction problems

Journal of New Researches in Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 آذر 1402  XML
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2023.71537.2376
نویسندگان
سید هاشم طبسی email 1؛ Reza Pourgholiorcid 2؛ امین فتحعلی نژادفانی3
1Damghan University, Damghan
2School of Mathematics and Computer Science, Damghan University, P.O.Box 36715-364, Damghan, Iran. Web address:http://faculty.du.ac.ir/pourgholi/
3School of Mathematics and Computer Science, Damghan University, P.O.Box 36715-364, Damghan, Iran.
چکیده
The main purpose of this article is to solve a problem of Inverse heat conduction using the new algorithm of flea search. This algorithm is proposed for the first time to solve these problems. In this article, we solved two simple problems of finding the root and the minimum of a function with this algorithm. Then we focused on the main problem solving the inverse partial differential equation. First, we discretize the desired inverse problem using the Crank-Nicholson method, then we solve it using the flea search algorithm. Among the advantages of the algorithm presented in this article, we can point so little mathematical knowledge and memory space requirement and the high precision of the answer at the appropriate execution time. Also, the numerical results obtained in this article show that the answers obtained for the examples presented in the numerical results section have highly accurate and a reasonable error. All of the algorithms in this paper to obtain the desired numeric results, have been implemented in MATLAB software on the core i5 4150 processor at 2.40 GHz.
کلیدواژه‌ها
Flea search algorithm؛ Inverse heat conduction problems problems؛ Optimization؛ Least squares method
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تعداد مشاهده مقاله: 57


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