Intelligent computing technique for solving singular multi-pantograph delay differential equation
Soft Computing • 2022
معلومات البحث
المؤلفون
Zulqurnain Sabir1
• Hafiz Abdul Wahab1
• Tri Gia Nguyen2
• Gilder Cieza Altamirano3
•
Fevzi Erdog˘ an4
• Mohamed R. Ali5,6
الكلمات المفتاحية
Not Available
المجلة العلمية
Soft Computing
الناشر
springer
المجلد
2022
العدد
Not Available
الصفحات
Not Available
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
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.
(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.
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