## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2019-01-31

PAPER REVISED: 2019-06-20

PAPER ACCEPTED: 2019-07-05

PUBLISHED ONLINE: 2019-09-15

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 6**, PAGES [S1889 - S1899]

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