Numerical solution of boundary value problems using artificial neural networks and harmony search

Neha Yadav, Thi Thuy Ngo, Anupam Yadav, Joong Hoon Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In this paper, we present an algorithm based on artificial neural networks (ANNs) and harmony search (HS) for the numerical solution of boundary value problems (BVPs), which evolves in most of the science and engineering applications. An approximate trial solution of the BVPs is constructed in terms of ANN in a way that it satisfies the desired boundary conditions of the differential equation (DE) a utomatically. Approximate satisfaction of the trial solution results in an unsupervised error, which is minimized by training ANN using the harmony search algorithm (HSA). A BVP modeling the flow of a stretching surface is considered here as a test problem to validate the accuracy, convergence and effectiveness of the proposed algorithm. The obtained results are compared with the available exact solution also to test the correctness of the algorithm.

Original languageEnglish
Title of host publicationHarmony Search Algorithm - Proceedings of the 3rd International Conference on Harmony Search Algorithm (ICHSA 2017)
PublisherSpringer Verlag
Pages112-118
Number of pages7
Volume514
ISBN (Print)9789811037276
DOIs
Publication statusPublished - 2017
EventProceedings of the 3rd International Conference on Harmony Search Algorithm, ICHSA 2017 - Bilbao, Spain
Duration: 2017 Feb 222017 Feb 24

Publication series

NameAdvances in Intelligent Systems and Computing
Volume514
ISSN (Print)21945357

Other

OtherProceedings of the 3rd International Conference on Harmony Search Algorithm, ICHSA 2017
CountrySpain
CityBilbao
Period17/2/2217/2/24

Keywords

  • Approximate solution
  • Artificial neural network
  • Boundary value problems
  • Differential equations
  • Harmony search algorithm

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)

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  • Cite this

    Yadav, N., Ngo, T. T., Yadav, A., & Kim, J. H. (2017). Numerical solution of boundary value problems using artificial neural networks and harmony search. In Harmony Search Algorithm - Proceedings of the 3rd International Conference on Harmony Search Algorithm (ICHSA 2017) (Vol. 514, pp. 112-118). (Advances in Intelligent Systems and Computing; Vol. 514). Springer Verlag. https://doi.org/10.1007/978-981-10-3728-3_12