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

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