Title
Intelligent computing technique for solving singular multi-pantograph delay differential equation
Date Issued
01 July 2022
Access level
metadata only access
Resource Type
journal article
Author(s)
Wahab H.A.
Nguyen T.G.
Sabir Z.
Erdoğan F.
Ali M.R.
Publisher(s)
Springer Science and Business Media Deutschland GmbH
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.
Start page
6701
End page
6713
Volume
26
Issue
14
Language
English
OCDE Knowledge area
Matemáticas Ciencias de la computación
Scopus EID
2-s2.0-85128771480
Source
Soft Computing
ISSN of the container
14327643
Sources of information: Directorio de Producción Científica Scopus