Evolutionary computational intelligence in solving a class of nonlinear Volterra-Fredholm integro-differential equations

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• 作者：Bothayna S.H. Kashkaria^a ; ^{bkashkari@kau.edu.sa" class="auth_mail" title="E-mail the corresponding author} ; Muhammed I. Syam^b ; ^{m.syam@uaeu.ac.ae" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Volterra&ndash ; Fredholm integro-differential equations ; Computational intelligence ; Artificial neural network
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：311
• 期：Complete
• 页码：314-323
• 全文大小：656 K

文摘

In this paper, a stochastic computational intelligence technique for solving a class of nonlinear Volterra–Fredholm integro-differential equations with mixed conditions is presented. The strength of feed forward artificial neural networks is used to accurately model the integro-equation. Comparisons with the exact solution and other numerical techniques are presented to show the efficiency of the proposed method. Theoretical and numerical results are presented. Analysis for the presented method is given.