Convergence analysis of the finite difference solution for the nonlinear Klein-Gordon equation
Author
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 5, Issue 1 (30 Jun. 2008), pp.101-113, 13 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2008-06-30
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Abstract AR
يختص هذا البحث باشتقاق معادلة المصفوفة الجبرية لمعادلة Klein-Gordon غير الخطية ذات البعد الواحد التي نحصل عليها من استخدام طريقة الفروقات المنتهية الضمنية، و تمت دراسة و تحليل تقارب الحل.
و قد أجريت الحسابات العددية و كانت الحلول مستقرة و متقاربة في حالة استخدام دالة الجيب كشرط ابتدائي.
Abstract EN
This paper is devoted to drive the matrix algebraic equation for the one-dimensional nonlinear Klein-Gordon equation which is obtained from using the implicit finite difference method.
The convergence analysis of the solution is discussed.
Numerical computations are conducted and the solutions are stable and convergent when the sine function is used as an initial condition.
American Psychological Association (APA)
al-Rawi, Ikhlas S.. 2008. Convergence analysis of the finite difference solution for the nonlinear Klein-Gordon equation. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 5, no. 1, pp.101-113.
https://search.emarefa.net/detail/BIM-332627
Modern Language Association (MLA)
al-Rawi, Ikhlas S.. Convergence analysis of the finite difference solution for the nonlinear Klein-Gordon equation. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 5, no. 1 (2008), pp.101-113.
https://search.emarefa.net/detail/BIM-332627
American Medical Association (AMA)
al-Rawi, Ikhlas S.. Convergence analysis of the finite difference solution for the nonlinear Klein-Gordon equation. al- Rafidain Journal of Computer Sciences and Mathematics. 2008. Vol. 5, no. 1, pp.101-113.
https://search.emarefa.net/detail/BIM-332627
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 113
Record ID
BIM-332627