ﺣﻞ مسائل انتگرال فردهلم نوع اول به کمک الگوریتم فرا اکتشافی جستجوی فاخته اصلاح شده
  •   آرشیو : نسخه بهار 1399 - جلد دوم
  •   نوع مقاله : پژوهشی
  •   کد پذیرش : 1362
  •   موضوع : سایر شاخه های علوم رایانه
  • نویسنده/گان : حسین رحیمی، رضا پورقلی
  •   کلید واژه : ﻣﻌﺎدﻟﻪدﯾﻔﺮاﻧﺴﯿﻞ، روش جستجوی فاخته، انتگرال فردهلم نوع اول.
  •   Abstract :
    The purpose of this paper is to solve a fredholm first kind integral problem with the help of the exploratory algorithm for modified cuckoo search optimization. Analytical solution of two-dimensional integral equations is usually difficult and very complex, and numerical methods are used to solve such problems. There are many numerical methods, each of which is precise. But the method presented in this article have advantages over existing methods. Their implementation is simpler, It has a short run time and is more accurate. The problem-solving method using the proposed algorithm is that we can guess some possible answers in the problem space. After that, we will evaluate the estimated answers from the cost function (which includes several numerical methods). Then, by removing the answers with less accuracy, we will try to reach the best answer with the lowest cost.
  •   key words :
    Integral equation , Cuckoo Search Algorithm, Fredholm first kind integral , Differential integral equations.
  •   مراجع :
    [1] J. Han, J. Pei, and M. Kamber, Data mining: concepts and techniques. Elsevier, 2011.
    [2] H. Liu and H. Motoda, Feature selection for knowledge discovery and data mining, vol. 454. Springer Science & Business.
    [3] Al-Tashi, Q., Abdulkadir, S. J., Rais, H. M., Mirjalili, S., & Alhussian, H. (2019). Binary Optimization Using Hybrid Grey Wolf Optimization for Feature Selection. IEEE Access, 1–1.doi:10.1109/access.2019.2906757.
    [4] Li, Y, Li, T. & Liu, H. (2017). Recent advances in feature selection and its applica- tions. Knowledge and Information Systems, 53 (3), 551–577.
    [5] Z. Avazzadeh, and M.Heydari, Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind, Comput. and Appl. Math., 31(1) (2012) 127-142.
    [6] M. Rahimi, Y.Shahmorad, , S.Talati, And F.Tari, An Operational Method for The Numerical Solution of Two Dimensional Linear Fredholm Integral Equations with an Error Estimation, Bulletin of the Iranian Mathematical Society, 36(2) (2010) 119-132..
    [7] E.Tohidi, , Taylor matrix method for solving linear two-dimensional Fredholm integral equations with Piecewise Intervals, Computational and Applied Mathematics, 34(3) (2015) 1117-1130
    [8] Wazwaz, A. M. (2011). ”Linear and nonlinear integral equations: methods and applications”. Springer Science & Business Media.
    [9] Mirzaee, F. and Hadadiyan, E., Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions, Appl. Math. Comput., 250 (2015) 805-816.
    [10] Guoqiang, H. and Wang, R., Richardson extrapolation of iterated discrete Galerkin solution for twodimensional Fredholm integral equations, J. Comput. and Appl. Math.,139 (2002) 4963.
    [11] Guoqiang, H. and Jiong, W., Extrapolation of Nystrom solution for two-dimensional nonlinear Fredholm integral equations, J. Comput. and Appl. Math., 134 (2001) 259-268.
    [12] Lin, Q., Sloan, I. H. and Xie R., Extrapolation of the iteration collocation method for integral equations of the second kind, SIAM J. Numer. Anal., 27 (1990) 1535-1541.
    [13] McLean, W., Asymptotic error expansions for numerical solutions of integral equations, IMA J. Numer. Anal.,9(1989) 373-384.
    [14] Rajabioun, R. (2011). Cuckoo optimization algorithm. Applied soft computing, 11(8), 5508-5518
  •  صفحات : 60-76
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