Modification of high performance training algorithms for solve singularly perturbed volterra integro-differential and integral equation

Other Title(s)

خوارزميات التدريب ذات الأداء العالي المحسنة لحل معادلة فولتيرا التكاملية التفاضلية و التكاملية المضطربة الشاذة

Time cited in Arcif : 
1

Author

al-Ibrahimi, Khalid Mandil Muhammad

Source

al-Qadisiyah Journal for Computer Science and Mathematics

Issue

Vol. 11, Issue 1 (31 Mar. 2019), pp.36-44, 9 p.

Publisher

University of al-Qadisiyah College of computer Science and Information Technology

Publication Date

2019-03-31

Country of Publication

Iraq

No. of Pages

9

Main Subjects

Mathematics

Topics

Abstract AR

في هذا البحث, نستخدم الشبكات العصبية لحل معادلة فولتيرا التكاملية التفاضلية ذات الاضطراب المنفردة ومعادلة فولتيرا التكاملية المنفردة ذات الاضطراب .

استخدمنا تحسين خوارزميات التدريب ذات الاداء العالي مثل كوازي نيوتن , ليفنبيرك - ماركواردت وبايسن ركوليشن .

تمت مقارنة الطريقة المقترحة مع خوارزميات التدريب القياسية والحلول التحليلية وجدنا أن الطريقة المقترحة تتميز بالدقة العالية في النتائج , وانخفاض معدل الخطأ وسرعة التقارب كثيرًا مع الطرق القياسية

Abstract EN

In this paper, we apply neural network for solve singularly perturbed Volterra integro-differential equations (SPVIDE) and singularly perturbed Volterra integral equations (SPVIE).

Using Modification Of High Performance Training Algorithms such as quase-Newton, Levenberge-Marqaurdt, and Baysian Regulation.

The proposed method was compared with the standard training algorithms and analytical methods.

We found that the proposed method is characterized by high accuracy in the results, a lower error rate and a speed that is much convergent to standard methods

American Psychological Association (APA)

al-Ibrahimi, Khalid Mandil Muhammad. 2019. Modification of high performance training algorithms for solve singularly perturbed volterra integro-differential and integral equation. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 11, no. 1, pp.36-44.
https://search.emarefa.net/detail/BIM-837846

Modern Language Association (MLA)

al-Ibrahimi, Khalid Mandil Muhammad. Modification of high performance training algorithms for solve singularly perturbed volterra integro-differential and integral equation. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 11, no. 1 (2019), pp.36-44.
https://search.emarefa.net/detail/BIM-837846

American Medical Association (AMA)

al-Ibrahimi, Khalid Mandil Muhammad. Modification of high performance training algorithms for solve singularly perturbed volterra integro-differential and integral equation. al-Qadisiyah Journal for Computer Science and Mathematics. 2019. Vol. 11, no. 1, pp.36-44.
https://search.emarefa.net/detail/BIM-837846

Data Type

Journal Articles

Language

English

Notes

Includes appendices : p. 39-43

Record ID

BIM-837846