Numerical solution for non-linear korteweg-de Vries-Burger's equation using the Haar wavelet method
Other Title(s)
الحل العددي لمعادلة korteweg-de Vries-Burger's غير الخطية باستخدام طريقة مويجة Haar
Joint Authors
Faruq, Ahmad
al-Rawi, Ikhlas S.
Source
Iraqi Journal of Statistical Science
Issue
Vol. 2011, Issue 20 (31 Aug. 2011), pp.93-110, 18 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2011-08-31
Country of Publication
Iraq
No. of Pages
18
Main Subjects
Topics
Abstract AR
في هذا البحث، تم تطبيق مصفوفة العوامل للتكاملات التي تعتمد على مويجة Haar لإيجاد الحل العددي لمعادلة Korteweg-de Vries-Burger s غير الخطية من الرتبة الثالثة و قد قورنت النتائج مع الحل المضبوط.
إن دقة الحلول التي حصلنا عليها عالية حتى إذا كان عدد نقاط الشبكة المحسوبة قليلا و كلما زادت عدد نقاط الشبكة المحسوبة فأن الدقة تزداد و الخطأ يتناقص و قد تم توضيح ذلك من خلال حل مثال.
لقد تم أيضا تخفيض رتبة الشروط الحدودية المطلوبة في الحل.
Abstract EN
In this paper, an operational matrix of integrations based on the Haar wavelet method is applied for finding numerical solution of nonlinear third-order korteweg-de Vries-Burger's equation, we compared this numerical results with the exact solution.
The accuracy of the obtained solutions is quite high even if the number of calculation points is small, by increasing the number of collocation points the error of the solution rapidly decreases as shown by solving an example.
We have been reduced the boundary conditions in the solution by using the finite differences method with respect to time.
Also we have reduced the order boundary conditions used in the numerical solution by using the boundary condition at x = L instead of the derivatives of order two with respect to space.
American Psychological Association (APA)
Faruq, Ahmad& al-Rawi, Ikhlas S.. 2011. Numerical solution for non-linear korteweg-de Vries-Burger's equation using the Haar wavelet method. Iraqi Journal of Statistical Science،Vol. 2011, no. 20, pp.93-110.
https://search.emarefa.net/detail/BIM-399739
Modern Language Association (MLA)
Faruq, Ahmad& al-Rawi, Ikhlas S.. Numerical solution for non-linear korteweg-de Vries-Burger's equation using the Haar wavelet method. Iraqi Journal of Statistical Science No. 20 (2011), pp.93-110.
https://search.emarefa.net/detail/BIM-399739
American Medical Association (AMA)
Faruq, Ahmad& al-Rawi, Ikhlas S.. Numerical solution for non-linear korteweg-de Vries-Burger's equation using the Haar wavelet method. Iraqi Journal of Statistical Science. 2011. Vol. 2011, no. 20, pp.93-110.
https://search.emarefa.net/detail/BIM-399739
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 110
Record ID
BIM-399739