The finite difference methods for ø4 Klein-Gordon equation
Joint Authors
Manna, Sad Abd Allah
Hawil, Laya Y.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 5, Issue 2 (31 Dec. 2008), pp.47-63, 17 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2008-12-31
Country of Publication
Iraq
No. of Pages
17
Main Subjects
Abstract AR
تم حل معادلة j 4 Klein-Gordon عدديا باستخدام طريقتين من طرائق الفروقات المنتهية : الأولى هي الطريقة الصريحة و الثانية هي الطريقة الضمنية (Crank-Nicholson) ثم تمت دراسة الاستقرارية العددية لكلتا الطريقتين و تبين من خلال الحل و الاستقرارية بأن الطريقة الصريحة هي الأسهل و الأسرع تقاربا من الطريقة الضمنية بينما الطريقة الضمنية هي الأدق كذلك الطريقة الصريحة مستقرة بشروط بينما الطريقة الضمنية مستقرة من دون شرط.
Abstract EN
We solved j 4 Klein-Gordon equation numerically by using two finite difference methods : The first is the explicit method and the second is the implicit (Crank-Nicholson) method.
Also, we studied the numerical stability of the two methods using Fourier (Von Neumann) method and it has been found that the first method is simpler and has faster convergence while the second method is more accurate, and the explicit method is conditionally stable while the implicit method is unconditionally stable.
American Psychological Association (APA)
Manna, Sad Abd Allah& Hawil, Laya Y.. 2008. The finite difference methods for ø4 Klein-Gordon equation. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 5, no. 2, pp.47-63.
https://search.emarefa.net/detail/BIM-332434
Modern Language Association (MLA)
Manna, Sad Abd Allah& Hawil, Laya Y.. The finite difference methods for ø4 Klein-Gordon equation. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 5, no. 2 (2008), pp.47-63.
https://search.emarefa.net/detail/BIM-332434
American Medical Association (AMA)
Manna, Sad Abd Allah& Hawil, Laya Y.. The finite difference methods for ø4 Klein-Gordon equation. al- Rafidain Journal of Computer Sciences and Mathematics. 2008. Vol. 5, no. 2, pp.47-63.
https://search.emarefa.net/detail/BIM-332434
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 62-63
Record ID
BIM-332434