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

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

doi:10.1007/978-981-10-3728-3_12

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

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

School of Civil, Environmental and Architectural Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 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 language	English
Title of host publication	Harmony Search Algorithm - Proceedings of the 3rd International Conference on Harmony Search Algorithm (ICHSA 2017)
Editors	Javier Del Ser
Publisher	Springer Verlag
Pages	112-118
Number of pages	7
ISBN (Print)	9789811037276
DOIs	https://doi.org/10.1007/978-981-10-3728-3_12
Publication status	Published - 2017
Event	Proceedings of the 3rd International Conference on Harmony Search Algorithm, ICHSA 2017 - Bilbao, Spain Duration: 2017 Feb 22 → 2017 Feb 24

Publication series

Name	Advances in Intelligent Systems and Computing
Volume	514
ISSN (Print)	2194-5357

Other

Other	Proceedings of the 3rd International Conference on Harmony Search Algorithm, ICHSA 2017
Country/Territory	Spain
City	Bilbao
Period	17/2/22 → 17/2/24

Bibliographical note

Funding Information:
This work was supported by a grant from the National Research Foundation (NRF) of Korea, funded by the Korean government (MSIP) under grant number NRF-2016R1A2A1A05005306, and a Brain Korea 21 (BK-21) fellowship from the Ministry of Education of Korea.

Publisher Copyright:
© Springer Nature Singapore Pte Ltd. 2017.

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)

Access to Document

10.1007/978-981-10-3728-3_12

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 J. Del Ser (Ed.), Harmony Search Algorithm - Proceedings of the 3rd International Conference on Harmony Search Algorithm (ICHSA 2017) (pp. 112-118). (Advances in Intelligent Systems and Computing; Vol. 514). Springer Verlag. https://doi.org/10.1007/978-981-10-3728-3_12

Numerical solution of boundary value problems using artificial neural networks and harmony search. / Yadav, Neha; Ngo, Thi Thuy; Yadav, Anupam et al.
Harmony Search Algorithm - Proceedings of the 3rd International Conference on Harmony Search Algorithm (ICHSA 2017). ed. / Javier Del Ser. Springer Verlag, 2017. p. 112-118 (Advances in Intelligent Systems and Computing; Vol. 514).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yadav, N, Ngo, TT, Yadav, A & Kim, JH 2017, Numerical solution of boundary value problems using artificial neural networks and harmony search. in J Del Ser (ed.), Harmony Search Algorithm - Proceedings of the 3rd International Conference on Harmony Search Algorithm (ICHSA 2017). Advances in Intelligent Systems and Computing, vol. 514, Springer Verlag, pp. 112-118, Proceedings of the 3rd International Conference on Harmony Search Algorithm, ICHSA 2017, Bilbao, Spain, 17/2/22. https://doi.org/10.1007/978-981-10-3728-3_12

Yadav N, Ngo TT, Yadav A, Kim JH. Numerical solution of boundary value problems using artificial neural networks and harmony search. In Del Ser J, editor, Harmony Search Algorithm - Proceedings of the 3rd International Conference on Harmony Search Algorithm (ICHSA 2017). Springer Verlag. 2017. p. 112-118. (Advances in Intelligent Systems and Computing). doi: 10.1007/978-981-10-3728-3_12

Yadav, Neha ; Ngo, Thi Thuy ; Yadav, Anupam et al. / Numerical solution of boundary value problems using artificial neural networks and harmony search. Harmony Search Algorithm - Proceedings of the 3rd International Conference on Harmony Search Algorithm (ICHSA 2017). editor / Javier Del Ser. Springer Verlag, 2017. pp. 112-118 (Advances in Intelligent Systems and Computing).

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

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