Solving the viscous Burger’s equation using three methods
Other Title(s)
حل معادلة Burger باستخدام ثلاث طرق مختلفة
Joint Authors
Abu Quffa, Awatif Hadyah
al-Shajmani, Zainab Ali
Awn, Ali Salim
Source
Scientific Journal of Faculty of Education
Issue
Vol. 7, Issue 17 (31 Mar. 2021), pp.300-313, 14 p.
Publisher
Misurata University Faculty of Education
Publication Date
2021-03-31
Country of Publication
Libya
No. of Pages
14
Main Subjects
Topics
Abstract AR
معادلة Burger تعتبر من إحدى المعادلات التفاضلية الجزئية غير الخطية، التي يمكن حلها عن طريق تطبيق التحويلات ذات الشروط الحدية و الابتدائية.
لذلك في هذه الورقة نعرض كيفية حل معادلة Burger بواسطة ثلاث طرق مختلفة و هي : طريقة تحويلات كول هوبف، طريقة التكرار المتغير وطريقة تحليل أدو ميان، مع أمثلة توضح كيفية حل هذه المعادلة تحت شروط مختلفة.
Abstract EN
Burger's equation is one of the very few nonlinear partial differential equations, which can be solved exactly using transformations for arbitrary initial and boundary conditions.
So we consider the analytical solution of Burger’s equation using three different methods, which are: the Cole-Hopf transformation, variational iteration method and Adomian decomposition method.
And provide some examples to describe how we can solve this equation under different conditions.
American Psychological Association (APA)
Abu Quffa, Awatif Hadyah& al-Shajmani, Zainab Ali& Awn, Ali Salim. 2021. Solving the viscous Burger’s equation using three methods. Scientific Journal of Faculty of Education،Vol. 7, no. 17, pp.300-313.
https://search.emarefa.net/detail/BIM-1456690
Modern Language Association (MLA)
Abu Quffa, Awatif Hadyah…[et al.]. Solving the viscous Burger’s equation using three methods. Scientific Journal of Faculty of Education Vol. 7, no. 17 (Mar. 2021), pp.300-313.
https://search.emarefa.net/detail/BIM-1456690
American Medical Association (AMA)
Abu Quffa, Awatif Hadyah& al-Shajmani, Zainab Ali& Awn, Ali Salim. Solving the viscous Burger’s equation using three methods. Scientific Journal of Faculty of Education. 2021. Vol. 7, no. 17, pp.300-313.
https://search.emarefa.net/detail/BIM-1456690
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 312-313
Record ID
BIM-1456690