Novel Cubic Trigonometric B-Spline Approach Based on the Hermite Formula for Solving the Convection-Diffusion Equation
Joint Authors
Abdeljawad, Thabet
Yousaf, Aatika
Yaseen, Muhammad
Abbas, Muhammad
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-27
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper introduces a cubic trigonometric B-spline method (CuTBM) based on the Hermite formula for numerically handling the convection-diffusion equation (CDE).
The method utilizes a merger of the CuTBM and the Hermite formula for the approximation of a space derivative, while the time derivative is discretized using a finite difference scheme.
This combination has greatly enhanced the accuracy of the scheme.
A stability analysis of the scheme is also presented to confirm that the errors do not magnify.
The main advantage of the scheme is that the approximate solution is obtained as a smooth piecewise continuous function empowering us to approximate a solution at any location in the domain of interest with high accuracy.
Numerical tests are performed, and the outcomes are compared with the ones presented previously to show the superiority of the presented scheme.
American Psychological Association (APA)
Yousaf, Aatika& Abdeljawad, Thabet& Yaseen, Muhammad& Abbas, Muhammad. 2020. Novel Cubic Trigonometric B-Spline Approach Based on the Hermite Formula for Solving the Convection-Diffusion Equation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1201883
Modern Language Association (MLA)
Yousaf, Aatika…[et al.]. Novel Cubic Trigonometric B-Spline Approach Based on the Hermite Formula for Solving the Convection-Diffusion Equation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1201883
American Medical Association (AMA)
Yousaf, Aatika& Abdeljawad, Thabet& Yaseen, Muhammad& Abbas, Muhammad. Novel Cubic Trigonometric B-Spline Approach Based on the Hermite Formula for Solving the Convection-Diffusion Equation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1201883
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201883