Benha University

Mohamed Reda Ali Mohamed

Asst. Professor

Faculty of Engineering, Benha Basic Sciences

Intelligent computing technique for solving singular multi-pantograph delay differential equation

• 2022
Back
Publication Information
Authors Zulqurnain Sabir, Hafiz Abdul Wahab, Tri Gia Nguyen, Gilder Cieza Altamirano, Fevzi Erdoğan & Mohamed R. Ali
Keywords Not Available
Journal Not Available
Publisher Not Available
Volume Not Available
Issue Not Available
Pages Not Available
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
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.

جميع الحقوق محفوظة © 2026 جامعة بنها - دليل أعضاء هيئة التدريس