On the solutions of electrohydrodynamic flow with fractional differential equations by reproducing kernel method
Akgül Ali,
Baleanu Dumitru,
Inc Mustafa,
Tchier Fairouz
Affiliations
Akgül Ali
Siirt University, Art and Science Faculty, Department of Mathematics, TR-56100 Siirt, Turkey
Baleanu Dumitru
Çankaya University, Faculty of Arts and Sciences, Department of Mathematics and Computer Sciences, 06530 Ankara, Turkey; Institute of Space Sciences, Magurele, Bucharest, Romania
Inc Mustafa
FIrat University, Science Faculty, Department of Mathematics, 23119 ElazIğ, Turkey
Tchier Fairouz
Mathematics Department, College of Science (Malaz), King Saud University, P.O. Box 22452 Riyadh, Kingdom of Saudi Arabia
In this manuscript we investigate electrodynamic flow. For several values of the intimate parameters we proved that the approximate solution depends on a reproducing kernel model. Obtained results prove that the reproducing kernel method (RKM) is very effective. We obtain good results without any transformation or discretization. Numerical experiments on test examples show that our proposed schemes are of high accuracy and strongly support the theoretical results.
