Stochastic numerical approach for solving second order nonlinear singular functional differential equation

Zulqurnain Sabir, Hafiz Abdul Wahab, Muhammad Umar and Fevzi Erdoğan

Applied Mathematics and Computation, 2019, vol. 363, issue C, -

Abstract: A new computational intelligence numerical scheme is presented for the solution of second order nonlinear singular functional differential equations (FDEs) using artificial neural networks (ANNs), global operator genetic algorithms (GAs), efficient local operator interior-point algorithm (IPA), and the hybrid combination of GA-IPA. An unsupervised error function is assembled for the DDE optimized by ANNs using the hybrid combination of GA-IPA. Three kinds of the second order nonlinear singular DDEs have been solved numerically and compared their results with the exact solutions to authenticate the performance and exactness of the present designed scheme. Moreover, statistical analysis based on Mean absolute deviation, Theil's inequality coefficient and Nash Sutcliffe efficiency is also performed to validate the convergence and accuracy of the present scheme.

Keywords: Functional differential equations; Artificial neural networks; Genetic algorithm; Nonlinear; Interior-point algorithm; Lane–Emden (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:363:y:2019:i:c:21

DOI: 10.1016/j.amc.2019.124605

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