Solving Fredholm Integral Equations of the Second Kind Using an Improved Cuckoo Optimization Algorithm

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_GADM-7-1_003

تاریخ نمایه سازی: 8 آذر 1401

Abstract:

In this paper, we propose an improved cuckoo optimization algorithm (ICOA) to determine unknown function u(x) in the Fredholm integral equations of the second kind. To show utility and capability of the ICOA, we solve some Fredholm integral equations of the second kind using the ICOA and Adomian decomposition method and compare results each other. Also, by using the parallelization technique the running time of the algorithm was reduced significantly. Results obtained by implementing the ICOA on a computer with ۲.۲ GHz CPU and ۱۴Gb RAM.

Keywords:

Improved cuckoo optimization algorithm , Fredholm integral equations of the second kind , Integral equations , Adomian decomposition method

Authors

Hassan Dana Mazraeh

School of Mathematics and Computer Sciences, Damghan University, P.O.Box ۳۶۷۱۵-۳۶۴, Damghan, Iran.

Maryam Kalantari

Department of Mathematics and Computer Science, Damghan University, Iran.

Seyed Hashem Tabasi

school of mathematics and computer science, Damghan university

Alireza Afzal Aghaei

Department of Mathematics and Computer Science, Damghan University, Iran.

Zahra Kalantari

Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran, Iran.

Farhad Fahimi

Department of Computer Sciences, University of Tabriz, Tabriz, Iran.

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