Novel design of Morlet wavelet neural network for solving second order Lane–Emden equation

Zulqurnain Sabir, Hafiz Abdul Wahab, Muhammad Umar, Mehmet Giyas Sakar and Muhammad Asif Zahoor Raja

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 172, issue C, 1-14

Abstract: In this study, a novel computational paradigm based on Morlet wavelet neural network (MWNN) optimized with integrated strength of genetic algorithm (GAs) and Interior-point algorithm (IPA) is presented for solving second order Lane–Emden equation (LEE). The solution of the LEE is performed by using modelling of the system with MWNNs aided with a hybrid combination of global search of GAs and an efficient local search of IPA. Three variants of the LEE have been numerically evaluated and their comparison with exact solutions demonstrates the correctness of the presented methodology. The statistical analyses are performed to establish the accuracy and convergence via the Theil’s inequality coefficient, mean absolute deviation, and Nash Sutcliffe efficiency based metrics.

Keywords: Lane–Emden equation; Artificial neural networks; Singular; Genetic algorithm; Nonlinear; Interior-point algorithm (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:172:y:2020:i:c:p:1-14

DOI: 10.1016/j.matcom.2020.01.005

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