On exact and approximate solutions of (2+1)-dimensional Konopelchenko-Dubrovsky equation via modified simplest equation and cubic B-spline schemes | Zendy

Suleman H. Alfalqi | Zendy; Jameel F. Alzaidi | Zendy; Dianchen Lu | Zendy; Mostafa M. A. Khater | Zendy

Open Access

On exact and approximate solutions of (2+1)-dimensional Konopelchenko-Dubrovsky equation via modified simplest equation and cubic B-spline schemes

Author(s) -

Suleman H. Alfalqi,

Jameel F. Alzaidi,

Dianchen Lu,

Mostafa M. A. Khater

Publication year - 2019

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci190131349a

Subject(s) - b spline , scheme (mathematics) , mathematics , exact solutions in general relativity , mathematical analysis

This paper studies the analytical and numerical solutions for (2+1)-D 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.

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