Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations
Joint Authors
Goh, Joan
Majid, Ahmad Abd.
Ismail, Ahmad Izani Md.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Numerical solutions of one-dimensional heat and advection-diffusion equations are obtained by collocation method based on cubic B-spline.
Usual finite difference scheme is used for time and space integrations.
Cubic B-spline is applied as interpolation function.
The stability analysis of the scheme is examined by the Von Neumann approach.
The efficiency of the method is illustrated by some test problems.
The numerical results are found to be in good agreement with the exact solution.
American Psychological Association (APA)
Goh, Joan& Majid, Ahmad Abd.& Ismail, Ahmad Izani Md.. 2012. Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-993271
Modern Language Association (MLA)
Goh, Joan…[et al.]. Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-993271
American Medical Association (AMA)
Goh, Joan& Majid, Ahmad Abd.& Ismail, Ahmad Izani Md.. Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-993271
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993271
