On the solutions of electrohydrodynamic flow with fractional differential equations by reproducing kernel method

被引：12

作者：

Akgul, Ali ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

Inc, Mustafa ^{[4
]}

Tchier, Fairouz ^{[5
]}

机构：

[1] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey

[2] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[3] Inst Space Sci, Bucharest, Romania

[4] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[5] King Saud Univ, Dept Math, Coll Sci Malaz, POB 22452, Riyadh, Saudi Arabia

来源：

OPEN PHYSICS | 2016年 / 14卷 / 01期

关键词：

kernel functions; electrohydrodynamic flow; approximate solutions; BOUNDARY-VALUE-PROBLEMS; CIRCULAR CYLINDRICAL CONDUIT; HILBERT-SPACE; ORDER;

D O I：

10.1515/phys-2016-0077

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：685 / 689

页数：5

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