Neuro-heuristic computational intelligence for solving nonlinear pantograph systems

作     者：Muhammad Asif Zahoor RAJA Iftikhar AHMAD Imtiaz KHAN Muhammed Ibrahem SYAM Abdul Majid WAZWAZ 

作者机构：Department of Electrical Engineering COMSA Ts Institute of Information Technology Attock 43200 Pakistan Department of Mathematics University of Gujrat Gujrat 50700 Pakistan Department of Mathematics Preston University lslamabad Campus Kohat Islamabad 44000 Pakistan Department of Mathematical Scienees United Arab Emirates University Al-Ain Box 15551 UAE Department of Mathematics Saint Xavier University Chicago IL 60655 USA 

出 版 物：《Frontiers of Information Technology & Electronic Engineering》 (信息与电子工程前沿（英文版）)

年 卷 期：2017年第18卷第4期

页      码：464-484页

摘      要：We present a neuro-heuristic computing platform for finding the solution for initial value problems （IVPs） of non- linear pantograph systems based on functional differential equations （P-FDEs） of different orders. In this scheme, the strengths of feed-forward artificial neural networks （ANNs）, the evolutionary computing technique mainly based on genetic algorithms （GAs）, and the interior-point technique （IPT） are exploited. Two types of mathematical models of the systems are constructed with the help of ANNs by defining an unsupervised error with and without exactly satisfying the initial conditions. The design parameters of ANN models are optimized with a hybrid approach GA-IPT, where GA is used as a tool for effective global search, and IPT is incorporated for rapid local convergence. The proposed scheme is tested on three different types oflVPs of P-FDE with orders 1-3 The correctness of the scheme is established by comparison with the existing exact solutions. The accuracy and convergence ofthc proposed scheme are further validated through a large number of numerical experiments by taking different numbers of neurons in ANN models.

主 题 词：Neural networks Initial value problems (IVPs) Functional differential equations (FDEs) Unsupervised learning Genetic algorithms (GAs) Interior-point technique (IPT) 

学科分类：12[管理学] 1201[管理学-管理科学与工程类] 07[理学] 081104[081104] 08[工学] 070104[070104] 0835[0835] 0811[工学-水利类] 0701[理学-数学类] 0812[工学-测绘类] 

核心收录：

D　O　I：10.1631/FITEE.1500393

馆 藏 号：203220453...