The finite difference methods for hyperbolic-parabolic equations
Joint Authors
Manna, Sad Abd Allah
al-Bayati, Abbas Y.
al-Rawi, Ikhlas S.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 2, Issue 2 (31 Dec. 2005), pp.57-71, 15 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2005-12-31
Country of Publication
Iraq
No. of Pages
15
Main Subjects
Topics
Abstract AR
إن هدف هذا البحث يبنى على استخدام طرائق الفروقات المنتهية لحل مسألة عامة ذات بعد واحد hyperbolic-parabolic-reaction، إذ تم استخدام طرائق الفروقات المنتهية مع التحويل الأسي لحل المسألة، و تطبيق تقنية تقريب الفروقات، لنحصل على الحلول العددية.
و قد قورنت أمثلة حسابية بالحلول المضبوطة و حصلنا على أن طريقة كرانك-نيكلسون- أكثر دقة من طريقة الفروقات المنتهية الأمامية.
لذلك فإن صيغة التحويل الأسي لهذه المسألة تعطي حلا مستقرا مقارنة بالحل المضبوط.
Abstract EN
The objective of this paper is to construct numerical schemes using finite difference methods for the one-dimensional general hyperbolicparabolic- reaction problem.
The finite difference method with the exponential transformation form is used to solve the problem, and employs difference approximation technique to obtain the numerical solutions.
Computational examples are presented and compared with the exact solutions.
We obtained that the Crank-Nicholson scheme is more accurate than Forward scheme.
Therefore the form of exponential transformation for the problem yields a stable solution compared with exact solution.
American Psychological Association (APA)
al-Bayati, Abbas Y.& Manna, Sad Abd Allah& al-Rawi, Ikhlas S.. 2005. The finite difference methods for hyperbolic-parabolic equations. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 2, no. 2, pp.57-71.
https://search.emarefa.net/detail/BIM-361454
Modern Language Association (MLA)
al-Bayati, Abbas Y.…[et al.]. The finite difference methods for hyperbolic-parabolic equations. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 2, no. 2 (2005), pp.57-71.
https://search.emarefa.net/detail/BIM-361454
American Medical Association (AMA)
al-Bayati, Abbas Y.& Manna, Sad Abd Allah& al-Rawi, Ikhlas S.. The finite difference methods for hyperbolic-parabolic equations. al- Rafidain Journal of Computer Sciences and Mathematics. 2005. Vol. 2, no. 2, pp.57-71.
https://search.emarefa.net/detail/BIM-361454
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 71
Record ID
BIM-361454
