Solutions of nonlinear systems by reproducing kernel method

The Journal of Nonlinear Sciences and its Applications

Esra KaratasAkgü¹  Ali Akgü²  l³  YasirKhan⁵ 

[1] Department of Mathematics and Computer Sciences, Art and ScienceFaculty,Cankaya University, TR-06300 Ankara,Turkey;Department of Mathematics, Art and Science Faculty,Siirt University, 56100 Siirt, Turkey;Department of Mathematics, King Saud University,Riyadh 12364, Saudi Arabia;Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia;Gelibolu Piri Reis Vocational School, Canakkale Onsekiz Mart University, 17100, Canakkale, Turkey

关键词: Reproducing kernel method;    series solutions;    nonlinear systems.;   

DOI  :  10.22436/jnsa.010.08.33

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

A novel approximate solution is obtained for viscoelastic fluid model by reproducing kernel method (RKM). The resulting equation for viscoelastic fluid with magneto-hydrodynamic flow is transformed to the nonlinear system by introducing the dimensionless variables. Results are presented graphically to study the efficiency and accuracy of the reproducing kernel method. Results show that this method namely RKM is an efficient method for solving nonlinear system in any engineering field.

【 授权许可】

Unknown