Adomian decomposition method for solving two-dimensional Schrödinger equation

Other Title(s)

طريقة تحليل ادومين لحَلِّ معادلةِ شرودنكرثنائية البعد

Author

al-Sayf, Abd al-Sattar Jabir Ali

Source

Journal of Thi-Qar Science

Issue

Vol. 2, Issue 1 (31 Jan. 2010)9 p.

Publisher

University of Thi-Qar College of Science

Publication Date

2010-01-31

Country of Publication

Iraq

No. of Pages

9

Main Subjects

Mathematics

Topics

Abstract AR

هنا تم تطبيق طريقة تحليل أدومين (Adomian) لتقريب حل معادلة شرودنكر (Schrödinger) ثنائية البعد، و برهان تقارب هذه الطريقة.

الطريقة قورنت بطرائق الأخرى باستعمال مقاييس التقارب و الدقة.

أثبتت النتائج بأن طريقة تحليل أدومين أكثر دقة، و أفضل تقارب من الطرائق الأخرى، فضلا عن تثبيت الأوقات التي تحتاجها وحدة لمعالجة المركزية لحل هذه المسألة.

Abstract EN

In this paper, Adomian decomposition method is applied to approximate the solution of two-dimensional Schrödinger equation.

Also, the convergence proof of the Adomian decomposition method is presented.

The method was compared with other methods in the aspects of convergence and accuracy.

The results show that the Adomian decomposition method is more accurate, and has better convergence than the other methods in literature, and CPU times needed for this problem are reported.

American Psychological Association (APA)

al-Sayf, Abd al-Sattar Jabir Ali. 2010. Adomian decomposition method for solving two-dimensional Schrödinger equation. Journal of Thi-Qar Science،Vol. 2, no. 1.
https://search.emarefa.net/detail/BIM-254312

Modern Language Association (MLA)

al-Sayf, Abd al-Sattar Jabir Ali. Adomian decomposition method for solving two-dimensional Schrödinger equation. Journal of Thi-Qar Science Vol. 2, no. 1 (Jan. 2010).
https://search.emarefa.net/detail/BIM-254312

American Medical Association (AMA)

al-Sayf, Abd al-Sattar Jabir Ali. Adomian decomposition method for solving two-dimensional Schrödinger equation. Journal of Thi-Qar Science. 2010. Vol. 2, no. 1.
https://search.emarefa.net/detail/BIM-254312

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references.

Record ID

BIM-254312