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

Mathematics

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