Optimal control of time delay Fredholm integro-differential equations
محل انتشار: مجله مدلسازی ریاضی، دوره: 9، شماره: 2
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 28
فایل این مقاله در 15 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_JMMO-9-2_009
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
This paper is devoted to solve a set of non-linear optimal control problems which are touched with time-delay Fredholm integro-differential equations. The serious objective of this work is to contribute an appropriate direct scheme for solving these problems. The technique used in this paper is based upon the Dickson polynomials and collocation points. Getting through the solutions, the states and controls variables can be approximated with Dickson polynomials. Therefore, the optimal control problem with time-delay integro-differential equation transforms into a system of algebraic equations that by solving it, we can obtain the unknown coefficients of the main problem. The residual error estimation of this technique is also investigated. Accuracy amount of the absolute errors have been studied for the performance of this method by solving several non-trivial examples.
کلیدواژه ها:
نویسندگان
Maryam Alipour
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Samaneh Soradi-Zeid
Faculty of Industry and Mining (khash), University of Sistan and Baluchestan, Zahedan, Iran