THERMAL SCIENCE

International Scientific Journal

S. H. Alfalqi

,

J. F. Alzaidi

,

Dianchen Lu

,

Mostafa M. A. Khater

ON EXACT AND APPROXIMATE SOLUTIONS OF (2+1)-DIMENSIONAL KONOPELCHENKO-DUBROVSKY EQUATION VIA MODIFIED SIMPLEST EQUATION AND CUBIC B-SPLINE SCHEMES

ABSTRACT
This paper studies the analytical and numerical solutions for (2+1)- dimensional Konopelchenko-Dubrovsky equation. It also examines the performance of the modified simplest equation method and the cubic B-spline scheme on this model. Many explicit wave solutions are found by using the analytical technique. These solutions allow studying the physical properties of this model. The comparison between the analytical and numerical solutions are discussed to show which one of cubic B-spline scheme families is more accurate in finding the numerical solutions of this model.
KEYWORDS
modified simplest equation method, B-spline schemes, solitary wave solution, analytical and numerical wave solution
PAPER SUBMITTED: 2019-01-31
PAPER REVISED: 2019-06-20
PAPER ACCEPTED: 2019-07-05
PUBLISHED ONLINE: 2019-09-15
DOI REFERENCE: https://doi.org/10.2298/TSCI190131349A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S1889 - S1899]
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On exact and approximate solutions of (2+1)-dimensional Konopelchenko-Dubrovsky equation via modified simplest equation and cubic B-spline schemes

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