Numeric treatment of nonlinear second order multi-point boundary value problems using ANN, GAs and sequential quadratic programming technique

Sabir, Z.; Raja, M.

Growing Science » International Journal of Industrial Engineering Computations » Numeric treatment of nonlinear second order multi-point boundary value problems using ANN, GAs and sequential quadratic programming technique

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International Journal of Industrial Engineering Computations

ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print) Quarterly Publication Volume 5 Issue 3 pp. 431-442 , 2014

Numeric treatment of nonlinear second order multi-point boundary value problems using ANN, GAs and sequential quadratic programming technique Pages 431-442 Download PDF

Authors: Zulqurnain Sabir, Muhammad Asif Zahoor Raja

DOI: 10.5267/j.ijiec.2014.3.004

Keywords: Artificial neural networks, Genetic Algorithm, Hybrid computing techniques, Programming Technique, Sequential Quadratic

Abstract: In this paper, computational intelligence technique are presented for solving multi-point nonlinear boundary value problems based on artificial neural networks, evolutionary computing approach, and active-set technique. The neural network is to provide convenient methods for obtaining useful model based on unsupervised error for the differential equations. The motivation for presenting this work comes actually from the aim of introducing a reliable framework that combines the powerful features of ANN optimized with soft computing frameworks to cope with such challenging system. The applicability and reliability of such methods have been monitored thoroughly for various boundary value problems arises in science, engineering and biotechnology as well. Comprehensive numerical experimentations have been performed to validate the accuracy, convergence, and robustness of the designed scheme. Comparative studies have also been made with available standard solution to analyze the correctness of the proposed scheme.

How to cite this paper

 Sabir, Z & Raja, M. (2014). Numeric treatment of nonlinear second order multi-point boundary value problems using ANN, GAs and sequential quadratic programming technique.International Journal of Industrial Engineering Computations , 5(3), 431-442.

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