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


Sabir Z., Wahab H. A. , Umar M., Sakar M. G. , Raja M. A. Z.

MATHEMATICS AND COMPUTERS IN SIMULATION, vol.172, pp.1-14, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 172
  • Publication Date: 2020
  • Doi Number: 10.1016/j.matcom.2020.01.005
  • Journal Name: MATHEMATICS AND COMPUTERS IN SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, Public Affairs Index, zbMATH
  • Page Numbers: pp.1-14
  • Keywords: Lane-Emden equation, Artificial neural networks, Singular, Genetic algorithm, Nonlinear, Interior-point algorithm, INTERIOR-POINT ALGORITHM, TIME-VARYING DELAYS, DIFFERENTIAL-EQUATIONS, GENETIC ALGORITHM, NUMERICAL-SOLUTION, HEAT-TRANSFER, FLUID-FLOW, DYNAMICS, SYSTEMS, HEURISTICS
  • Van Yüzüncü Yıl University Affiliated: Yes

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. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.