-
- Home
- Journals
- Pramana – Journal of Physics
- Volume 91
- Issue 4
-
Numerical solutions of the Gardner equation by extended form of the cubic B-splines
OZLEM ERSOY HEPSON ALPER KORKMAZ IDRIS DAG
Research Article Volume 91 Issue 4 October 2018 Article ID 0059
-
-
Fulltext
Click here to view fulltext PDF
Permanent link:
https://www.ias.ac.in/article/fulltext/pram/091/04/0059 -
Keywords
Gardner equation ;soliton ;perturbation ;wave generation ;extended B-spline -
Abstract
The extended definition of the polynomial B-splines may give a chance to improve the results obtained by the classical cubic polynomial B-splines. The optimum value of the extension parameter can be determined by scanning some intervals containing zero. This study aims to solve some initial boundary value problems constructed for the Gardner equation by the extended cubic B-spline collocation method. The test problems are derived from some analytical studies to validate the efficiency and accuracy of the suggested method. The conservation laws are also determined to observe whether the test problems remain constant as expected from the theoretical aspect. The stability of the proposed method is investigated by the von Neumann analysis.
-
Author Affiliations
OZLEM ERSOY HEPSON1 ALPER KORKMAZ2 IDRIS DAG3
- Mathematics and Computer Department, Eskisehir Osmangazi University, Eskisehir, Turkey
- Department of Mathematics, Çankırı Karatekin University, Çankırı, Turkey
- Computer Engineering Department, Eskisehir Osmangazi University, Eskisehir, Turkey
-
Dates
- Published
- 1 October 2018
- Manuscript received
- 20 October 2017
- Manuscript revised
- 2 March 2018
- Accepted
- 23 March 2018
- Early published
- Unedited version published online
- Final version published online
- 25 August 2018
-
-
Pramana – Journal of Physics
Volume 97, 2023
All articles
Continuous Article Publishing mode
-
Pramana – Journal of Physics | News
-
Editorial Note on Continuous Article Publication
Posted on July 25, 2019Click here for Editorial Note on CAP Mode
-