Numerical Method Using Cubic Trigonometric B-Spline Technique for Nonclassical Diffusion Problems
Joint Authors
Rashid, Abdur
Majid, Ahmad Abd.
Ismail, Ahmad Izani Md.
Abbas, Muhammad
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A new two-time level implicit technique based on cubic trigonometric B-spline is proposed for the approximate solution of a nonclassical diffusion problem with nonlocal boundary constraints.
The standard finite difference approach is applied to discretize the time derivative while cubic trigonometric B-spline is utilized as an interpolating function in the space dimension.
The technique is shown to be unconditionally stable using the von Neumann method.
Several numerical examples are discussed to exhibit the feasibility and capability of the technique.
The L2 and L∞ error norms are also computed at different times for different space size steps to assess the performance of the proposed technique.
The technique requires smaller computational time than several other methods and the numerical results are found to be in good agreement with known solutions and with existing schemes in the literature.
American Psychological Association (APA)
Abbas, Muhammad& Majid, Ahmad Abd.& Ismail, Ahmad Izani Md.& Rashid, Abdur. 2014. Numerical Method Using Cubic Trigonometric B-Spline Technique for Nonclassical Diffusion Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1034049
Modern Language Association (MLA)
Abbas, Muhammad…[et al.]. Numerical Method Using Cubic Trigonometric B-Spline Technique for Nonclassical Diffusion Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1034049
American Medical Association (AMA)
Abbas, Muhammad& Majid, Ahmad Abd.& Ismail, Ahmad Izani Md.& Rashid, Abdur. Numerical Method Using Cubic Trigonometric B-Spline Technique for Nonclassical Diffusion Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1034049
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034049