Paper Info
Title
Intelligent computing technique for solving singular multi-pantograph delay differential equation
Abstract
The purpose of this study is to introduce a stochastic computing solver for the multi-pantograph delay differential equation (MP-DDE). The MP-DDE is not easy to solve due to the singularities and pantograph terms. An advance computational intelligent paradigm is proposed to solve MP-DDE of the second kind by manipulating the procedures of the artificial neural networks (ANNs) through the optimization of genetic algorithm (GA) and sequential quadratic programming (SQP), i.e., ANNs-GA-SQP. A fitness function is constructed based on MP-DDE of second kind and corresponding boundary conditions. The correctness of the ANNs-GA-SQP is observed by performing the comparison of the proposed and exact solutions. The values of the absolute error (AE) in good measures are provided to solve the MP-DDE of the second kind. The efficacy and correctness of the stochastic computing approach to solve three problems of the MP-DDE of second kind to signify the efficiency, worth, and consistency. Moreover, the statistical soundings are applied to validate the accuracy and consistency.
Year
DOI
Venue
2022
10.1007/s00500-022-07065-0
Soft Computing
Keywords
DocType
Volume
Pantograph, Stochastic computing, Artificial intelligence, Statistical soundings, Global scheme, Singular systems, Local search scheme
Journal
26
Issue
ISSN
Citations 
14
1432-7643
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Sabir, Zulqurnain100.34
Wahab, Hafiz Abdul200.34
Nguyen, Tri Gia300.34
Altamirano, Gilder Cieza400.34
Erdoğan, Fevzi500.34
Ali, Mohamed R.600.34