Please use this identifier to cite or link to this item:
https://hdl.handle.net/11499/37296
Title: | A combined meshfree exponential Rosenbrock integrator for the third-order dispersive partial differential equations | Authors: | Koçak, Hüseyin | Keywords: | dispersive-Fisher equation exponential integrator KdV equation KdV-Burgers equation multiquadric-radial basis function Dispersion (waves) Partial differential equations Fisher equation KdV-Burger Multiquadric radial basis function Numerical solution Numerical treatments Reaction terms Third order Time integrators Control nonlinearities |
Publisher: | John Wiley and Sons Inc | Abstract: | The aim of this study is to propose a combined numerical treatment for the dispersive partial differential equations involving dissipation, convection and reaction terms with nonlinearity, such as the KdV-Burgers, KdV and dispersive-Fisher equations. We use the combination of the exponential Rosenbrock–Euler time integrator and multiquadric-radial basis function meshfree scheme in space as a qualitatively promising and computationally inexpensive method to efficiently exhibit behavior of such fruitful interactions resulting in antikink, two solitons and antikink-breather waves. Obtained numerical solutions are compared with the existing results in the literature and discussed using illustrations in detail. © 2020 Wiley Periodicals LLC | URI: | https://hdl.handle.net/11499/37296 https://doi.org/10.1002/num.22726 |
ISSN: | 0749-159X |
Appears in Collections: | İktisadi ve İdari Bilimler Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Show full item record
CORE Recommender
SCOPUSTM
Citations
6
checked on Aug 17, 2024
WEB OF SCIENCETM
Citations
6
checked on Aug 1, 2024
Page view(s)
48
checked on Aug 24, 2024
Google ScholarTM
Check
Altmetric
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.