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

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摘要

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.

论文关键词:Volterra–Fredholm integro-differential equations,Computational intelligence,Artificial neural network

论文评审过程:Received 23 May 2016, Revised 15 June 2016, Available online 10 August 2016, Version of Record 25 August 2016.

论文官网地址:https://doi.org/10.1016/j.cam.2016.07.027