Numerical solution of a reaction-diffusion system with fast reversible reaction by using adomian’s decomposition method and he’s variational iteration method

Joint Authors

al-Sawur, Ann J.
al-Amr, Muhammad O.

Source

al- Rafidain Journal of Computer Sciences and Mathematics

Issue

Vol. 9, Issue 2 (31 Aug. 2012), pp.243-257, 15 p.

Publisher

University of Mosul College of Computer Science and Mathematics

Publication Date

2012-08-31

Country of Publication

Iraq

No. of Pages

15

Main Subjects

Physics

Topics

Abstract AR

في هذا البحث تم إيجاد الحل التقريبي لنظام التفاعل – الانتشار مع تفاعل عكسي سريع باستخدام طريقتين من الطرق الفعالة التي تم تطويرها مؤخرا و هما طريقة تحليل ادومين (ADM) و طريقة التكرار المتغاير (VIM).

إن طريقة التكرار المتغاير تتطلب إيجاد مضروب لاكرانج، بينما طريقة تحليل ادومين تتطلب إيجاد متعددات حدود ادومين.

كما تم توضيح سلوك الحل التقريبي و التأثيرات لقيم مختلفة ل t عن طريق الرسم.

Abstract EN

In this paper, the approximate solution of a reaction-diffusion system with fast reversible reaction is obtained by using Adomian decomposition method (ADM) and variational iteration method (VIM) which are two powerful methods that were recently developed.

The VIM requires the evaluation of the Lagrange multiplier, whereas ADM requires the evaluation of the Adomian polynomials.

The behavior of the approximate solutions and the effects of different values of t are shown graphically.

American Psychological Association (APA)

al-Sawur, Ann J.& al-Amr, Muhammad O.. 2012. Numerical solution of a reaction-diffusion system with fast reversible reaction by using adomian’s decomposition method and he’s variational iteration method. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 9, no. 2, pp.243-257.
https://search.emarefa.net/detail/BIM-321931

Modern Language Association (MLA)

al-Sawur, Ann J.& al-Amr, Muhammad O.. Numerical solution of a reaction-diffusion system with fast reversible reaction by using adomian’s decomposition method and he’s variational iteration method. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 9, no. 2 (2012), pp.243-257.
https://search.emarefa.net/detail/BIM-321931

American Medical Association (AMA)

al-Sawur, Ann J.& al-Amr, Muhammad O.. Numerical solution of a reaction-diffusion system with fast reversible reaction by using adomian’s decomposition method and he’s variational iteration method. al- Rafidain Journal of Computer Sciences and Mathematics. 2012. Vol. 9, no. 2, pp.243-257.
https://search.emarefa.net/detail/BIM-321931

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 256-257

Record ID

BIM-321931