Solve partial differential equations using the banach contraction method and improve results using the trapezoidal rule
Other Title(s)
حل المعادلات التفاضلية الجزئية باستخدام طريقة باناخ للتقلص و تحسين النتائج باستخدام قاعدة شبه منحرف
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 15, Issue 1 (30 Jun. 2021), pp.79-85, 7 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2021-06-30
Country of Publication
Iraq
No. of Pages
7
Main Subjects
Topics
Abstract AR
في هذا البحث تم تهجين طريقة باناخ للتقلص (BCM) مع قاعدة شبه المنحرف (TR) لحل المعادلات التفاضلية الجزئية غير الخطية.
تم تحسين النتائج التي تم الحصول عليها من (BCM) بواسطة (TR).
أثبتت النتائج التي تم الحصول عليها من (TR- BCM) كفاءة هذه الطريقة مقارنة بالطريقة الافتراضية (RCM).
تم ذلك عن طريق حساب متوسط الخطأ التربيعي (MSE) و تقدير الخطأ الأقصى المطلق (MAE).
Abstract EN
In this paper, the Banach contraction method (BCM) was hybridized with the base of the trapezoid (TR) to solve non-linear partial differential equations.
The results obtained from (BCM) were improved by (TR).
The results obtained from (BCM -TR) proved the efficiency of this method compared to the default method (BCM).
This was done by calculating the mean0square0error (MSE) and estimating the absolute maximum error (MAE).
American Psychological Association (APA)
Ghathith, Ahmad Intisar& Mahmud, Hibah Shukr. 2021. Solve partial differential equations using the banach contraction method and improve results using the trapezoidal rule. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 15, no. 1, pp.79-85.
https://search.emarefa.net/detail/BIM-1247385
Modern Language Association (MLA)
Ghathith, Ahmad Intisar& Mahmud, Hibah Shukr. Solve partial differential equations using the banach contraction method and improve results using the trapezoidal rule. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 15, no. 1 (2021), pp.79-85.
https://search.emarefa.net/detail/BIM-1247385
American Medical Association (AMA)
Ghathith, Ahmad Intisar& Mahmud, Hibah Shukr. Solve partial differential equations using the banach contraction method and improve results using the trapezoidal rule. al- Rafidain Journal of Computer Sciences and Mathematics. 2021. Vol. 15, no. 1, pp.79-85.
https://search.emarefa.net/detail/BIM-1247385
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 85
Record ID
BIM-1247385
