Name
Title | ||
|---|---|---|
Neuro-evolution computing for nonlinear multi-singular system of third order Emden–Fowler equation |
Abstract | ||
|---|---|---|
In this paper, a neuro-evolution based numerical computing approach is presented for the solution of nonlinear third order multi-singular Emden–Fowler system of differential equations (MS-EF-SDEs) by manipulating the proficiency of continuous mapping through exploitation of feed-forward artificial neural networks (ANN). The weights or decision variables of these networks are optimized with genetic algorithms (GAs) and sequential quadratic programming (SQP), i.e., ANN-GA-SQP. An error based figure of merit is introduced using the differential model of MS EF-SDE along with corresponding boundary conditions. The objective/cost function is optimized by integrating capability of global and local search with GA and SQP, respectively. The competency of the designed ANN-GA-SQP approach in terms of significance, efficiency and consistency is perceived by solving MS-EF-SDEs. Moreover, statistical based investigations are implemented to validate the correctness of ANN-GA-SQP. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.matcom.2021.02.004 | Mathematics and Computers in Simulation |
Keywords | DocType | Volume |
System of Emden–Fowler equations,Multi-singular systems,Artificial neural network,Numerical computing,Genetic algorithms,Sequential quadratic programming,Integrated intelligent computing | Journal | 185 |
ISSN | Citations | PageRank |
0378-4754 | 1 | 0.35 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zulqurnain Sabir | 1 | 13 | 5.71 |
| Muhammad Asif Zahoor Raja | 2 | 1 | 1.03 |
| Chaudry Masood Khalique | 3 | 1 | 0.35 |
| Canan Unlu | 4 | 1 | 0.35 |