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THE CONSERVATIVE DIFFERENCE SCHEME FOR THE GENERALIZED ROSENAU-KDV EQUATION

ABSTRACT
In this paper, numerical solutions for the generalized Rosenau-KdV equation are considered via the energy and momentum conservative non-linear implicit finite difference scheme. Unique existence of the conservative properties of the solutions for the difference scheme is shown. Numerical results demonstrate that the scheme is efficient and reliable.
KEYWORDS
PAPER SUBMITTED: 2015-12-25
PAPER REVISED: 2016-02-15
PAPER ACCEPTED: 2016-03-15
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3903Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S903 - S910]
REFERENCES
  1. Amin, E., Solitary Wave Solutions for Generalized Rosenau-KdV Equation, Communications in Theoretical Physics, 55 (2011), 3, pp. 396-398
  2. Polina, R., et al., Perturbation of Dispersive Shallow Water Waves, Ocean Engineering, 63 (2013), May, pp. 1-7
  3. Saha, A., Topological 1-Soliton Solutions for the Generalized Rosenau-Kdv Equation, Fundamental Journal of Mathematical Physics, 2 (2012), 1, pp. 19-23
  4. Ghodrat, E., et al., Topological Solitons and Other Solutions of the Rosenau-KdV Equation with Power Law Non-Linearity, Romanian Journal of Physics, 58 (2013), 1-2, pp. 1-10
  5. Zheng, M. B., et al., An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation, Journal of Applied Mathematics, 2014 (2014), ID 202793
  6. Luo, Y., et al., Conservative Difference Scheme for Generalized Rosenau-KdV Equation, Advances in Mathematical Physics, 2014 (2014), ID 986098
  7. Zuo, J. M., et al., A New Conservative Difference Scheme for the General Rosenau-RLW Equation, Boundary Value Problems, 2010 (2010), ID 516260
  8. Zhou, Y., Applications of Discrete Functional Analysis to the Finite Difference Method, International Academic Publishers, Beijing, China, 1991
  9. Browder, F. E., Existence and Uniqueness Theorems for Solutions of Non-Linear Boundary Value Problems, Proceedings, Symposia in Applied Mathematics, New York, USA, 17 (1965), 6, pp. 24-49

© 2020 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence