Title
Solving A Novel Designed Second Order Nonlinear Lane-Emden Delay Differential Model Using The Heuristic Techniques
Abstract
The aim of the present study is to present a new model based on the nonlinear singular second order delay differential equation of Lane-Emden type and numerically solved by using the heuristic technique. Four different examples are presented based on the designed model and numerically solved by using artificial neural networks optimized by the global search, local search methods and their hybrid combinations, respectively, named as genetic algorithm (GA), sequential quadratic programming (SQP) and GA-SQP. The numerical results of the designed model are compared for the proposed heuristic technique with the exact/explicit results that demonstrate the performance and correctness. Moreover, statistical investigations/assessments are presented for the accuracy and performance of the designed model implemented with heuristic methodology. (C) 2021 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.asoc.2021.107105
APPLIED SOFT COMPUTING
Keywords
DocType
Volume
Delay differential equations, Lane-Emden, Artificial neural networks, Nonlinear, Genetic algorithm, Statistical analysis, Sequential quadratic programming
Journal
102
ISSN
Citations 
PageRank 
1568-4946
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Zulqurnain Sabir1135.71
Juan Luis García Guirao221.80
Tareq Saeed303.04