A comparative study of wavelets methods for solving non-linear two-dimensional boussinesq system of type BBM-BBM
Joint Authors
Qasim, Ahmad F.
al-Rawi, Ikhlas S.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 11, Issue 2 (30 Jun. 2014), pp.47-63, 17 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2014-06-30
Country of Publication
Iraq
No. of Pages
17
Main Subjects
Abstract AR
في هذا البحث، تم تطبيق طرائق المويجات في الحل العددي لنظام BBM – BBM غير الخطي ببعدين و مقارنة النتائج حيث تم استخدام طريقة مويجات Haar و طريقة مويجات Legendre في الحل العددي.
بالإضافة إلى ذلك قمنا باشتقاق صيغة التكاملات لمويجات Legendre تحليليا.
تأثير الحل للطريقتين اختبر بواسطة حل مثال و مقارنته مع الحل المضبوط.
إن دقة الحلول العددية عالية و إن كانت عدد نقاط الشبكة المحسوبة صغيرة و كلما زادت عدد نقاط الشبكة المحسوبة فإن الخطأ يتناقص.
لقد تبين لنا أيضا أن طريقة مويجات Legendre أفضل و أقرب إلى الحل المضبوط من طريقة مويجات Harr.
Abstract EN
In this paper, numerical techniques based on the wavelets methods are proposed for the numerical solution of non-linear two-dimensional BBM-BBM system and we compared between them.
Two methods used in numerical solutions, are the Haar wavelets and Legendre wavelets methods.
In addition, we derived formulas of integrals for Legendre wavelets analytically.
Its efficiency is tested by solving an example for which the exact solution is known.
The accuracy of the numerical 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.
We have found that the Legendre wavelets method is better and closer to the exact solution than the Haar wavelets method.
American Psychological Association (APA)
al-Rawi, Ikhlas S.& Qasim, Ahmad F.. 2014. A comparative study of wavelets methods for solving non-linear two-dimensional boussinesq system of type BBM-BBM. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 11, no. 2, pp.47-63.
https://search.emarefa.net/detail/BIM-378837
Modern Language Association (MLA)
al-Rawi, Ikhlas S.& Qasim, Ahmad F.. A comparative study of wavelets methods for solving non-linear two-dimensional boussinesq system of type BBM-BBM. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 11, no. 2 ( 2014), pp.47-63.
https://search.emarefa.net/detail/BIM-378837
American Medical Association (AMA)
al-Rawi, Ikhlas S.& Qasim, Ahmad F.. A comparative study of wavelets methods for solving non-linear two-dimensional boussinesq system of type BBM-BBM. al- Rafidain Journal of Computer Sciences and Mathematics. 2014. Vol. 11, no. 2, pp.47-63.
https://search.emarefa.net/detail/BIM-378837
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 63
Record ID
BIM-378837