An application of he's variational iteration method for solving Duffing-Van Der Pol equation
Joint Authors
Aziz, Merna A.
al-Sawoor, Ann J.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 10, Issue 2 (31 Aug. 2013), pp.153-163, 11 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2013-08-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Topics
Abstract AR
تم في هذا البحث تطبيق طريقتين ال VIM و ال ADM لإيجاد الحل التقريبي لمعادلة Duffing-Van Der Pol.
في طريقة ال VIM تعتمد دالة التصحيح بصورة عامة على مضروب لاكرانج الذي يتم إيجاده باستخدام نظرية التغاير.
المقارنة العددية للحلول المتمثلة بشكل متسلسلة تمت مقارنتها مع طريقة RK45 القياسية و قد أثبتت طريقة ال VIM كفاءتها في حل هذه النوعية من المعادلات.
هذا البحث أيضا تضمن برهان التقارب لطريقة VIM المستخدمة لحل معادلة Duffing Van Der Pol.
Abstract EN
In this paper, we apply He's variational iteration method (VIM) and the Adomian decomposition method (ADM) to approximate the solution of Duffing-Van Der Pol equation (DVP).
In VIM, a correction functional is constructed by a general Lagrange multiplier which can be identified via a variational theory.
The VIM yields an approximate solution in the form of a quickly convergent series.
Comparisons of the two series solutions with the classical Runge-Kutta order four RK45 method show that the VIM is a powerful method for the solution of nonlinear equations.
The convergent of He's variational iteration method to this equation is also considered.
American Psychological Association (APA)
al-Sawoor, Ann J.& Aziz, Merna A.. 2013. An application of he's variational iteration method for solving Duffing-Van Der Pol equation. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 10, no. 2, pp.153-163.
https://search.emarefa.net/detail/BIM-341438
Modern Language Association (MLA)
al-Sawoor, Ann J.& Aziz, Merna A.. An application of he's variational iteration method for solving Duffing-Van Der Pol equation. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 10, no. 2 (2013), pp.153-163.
https://search.emarefa.net/detail/BIM-341438
American Medical Association (AMA)
al-Sawoor, Ann J.& Aziz, Merna A.. An application of he's variational iteration method for solving Duffing-Van Der Pol equation. al- Rafidain Journal of Computer Sciences and Mathematics. 2013. Vol. 10, no. 2, pp.153-163.
https://search.emarefa.net/detail/BIM-341438
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 162-163
Record ID
BIM-341438