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Sixth order finite difference in two dimensions with some examples
Other Title(s)
الفروق المقسومة من الرتبة السادسة في بعدين مع أمثلة
Author
Source
Issue
Vol. 2015, Issue 23 (30 Jun. 2015), pp.101-113, 13 p.
Publisher
Publication Date
2015-06-30
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Topics
Abstract AR
الفروق المقسومة بتسعة نقاط من الرتبة السادسة استعملت لحل معادلة لابلاس في متغیرین.
كفاءة ھذه الطریقة واضحة من خلال تطبیقھا و مقارنتھا مع الحل المضبوط.
الحل الصریح لمعادلة القطع المكافئ إضافة إلى تطبیقھا على نطاق یحتوي على مناطق معزولة، و كذلك یمكن تطبیقھا على معادلة باسون مع إمكانیة زیادة دقتھا بإضافة عدد أكثر من الحدود من الطرف الأیمن.
و النتائج العددیة لھذه الطریقة مبینة في الأمثلة التي توضح ذلك.
Abstract EN
A nine-points sixth – order accurate compact finite difference method for solving Laplace equation in two dimensional is present.
The efficiency of the method is validated by its application to the test problems which have exact solutions.
Numerical results show that this sixth order scheme has the expected accuracy.
The explicit numerical solution of the parabolic equation is given, In addition, can be applicable to domain with some obstacle, as well, improve the solution of Poisson equation by taking more terms from the right hand side.
All the computations are solved by the iterative method with personal computer.
American Psychological Association (APA)
Muhaysin, Ali Ubayd. 2015. Sixth order finite difference in two dimensions with some examples. al-Mansour،Vol. 2015, no. 23, pp.101-113.
https://search.emarefa.net/detail/BIM-607749
Modern Language Association (MLA)
Muhaysin, Ali Ubayd. Sixth order finite difference in two dimensions with some examples. al-Mansour No. 23 (2015), pp.101-113.
https://search.emarefa.net/detail/BIM-607749
American Medical Association (AMA)
Muhaysin, Ali Ubayd. Sixth order finite difference in two dimensions with some examples. al-Mansour. 2015. Vol. 2015, no. 23, pp.101-113.
https://search.emarefa.net/detail/BIM-607749
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 111-112
Record ID
BIM-607749