Finite di_erence method for numerical solution of two point boundary value problems with non-uniform mesh and internal boundary condition
Author
Source
General Letters in Mathematics
Issue
Vol. 4, Issue 1 (28 Feb. 2018), pp.6-12, 7 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2018-02-28
Country of Publication
Jordan
No. of Pages
7
Main Subjects
Abstract EN
In this article, we have presented a variable step nite di erence method for solving second order boundary value problems in ordinary di erential equations with an internal boundary condition.
We have discussed the convergence and established at least cubic order of accuracy of the proposed method.
The proposed method tested on several model problems for the numerical solution.
The numerical results obtained for these model problems with known / constructed exact solution con rm the theoretical conclusions of the proposed method.
The computational results obtained for these model problems suggest that method is ecient and accurate.
American Psychological Association (APA)
Pandey, Prabhash K.. 2018. Finite di_erence method for numerical solution of two point boundary value problems with non-uniform mesh and internal boundary condition. General Letters in Mathematics،Vol. 4, no. 1, pp.6-12.
https://search.emarefa.net/detail/BIM-938142
Modern Language Association (MLA)
Pandey, Prabhash K.. Finite di_erence method for numerical solution of two point boundary value problems with non-uniform mesh and internal boundary condition. General Letters in Mathematics Vol. 3, no. 1 (Feb. 2018), pp.6-12.
https://search.emarefa.net/detail/BIM-938142
American Medical Association (AMA)
Pandey, Prabhash K.. Finite di_erence method for numerical solution of two point boundary value problems with non-uniform mesh and internal boundary condition. General Letters in Mathematics. 2018. Vol. 4, no. 1, pp.6-12.
https://search.emarefa.net/detail/BIM-938142
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 12
Record ID
BIM-938142