THERMAL SCIENCE

International Scientific Journal

NUMERICAL COMPUTATION OF THE TIME NON-LINEAR FRACTIONAL GENERALIZED EQUAL WIDTH MODEL ARISING IN SHALLOW WATER CHANNEL

ABSTRACT
The generalized equal width model is an important non-linear dispersive wave model which is naturally used to describe physical situations in a water channel. In this work, we implement the idea of the interpolation by radial basis function to obtain numerical solution of the non-linear time fractional generalized equal width model defined by Caputo sense. In this technique, firstly, a time discretization is accomplished via the finite difference approach and the non-linear term is linearized by a linearization method. Afterwards, with the help of the radial basis function approximation method is used to discretize the spatial derivative terms. The stability of the method is theoretically discussed using the von Neumann (Fourier series) method. Numerical results and comparisons are presented which illustrate the validity and accuracy of our proposed concepts.
KEYWORDS
PAPER SUBMITTED: 2020-04-14
PAPER REVISED: 2020-05-20
PAPER ACCEPTED: 2020-05-26
PUBLISHED ONLINE: 2020-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI20S1049C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement 1, PAGES [S49 - S58]
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