Solutions of nonlinear systems by reproducing kernel method
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Authors
Ali Akgül
- Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey.
Yasir Khan
- Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia.
Esra Karatas Akgül
- Gelibolu Piri Reis Vocational School, Canakkale Onsekiz Mart University, 17100, Canakkale, Turkey.
Dumitru Baleanu
- Department of Mathematics and Computer Sciences, Art and Science Faculty, Cankaya University, TR-06300 Ankara, Turkey.
- Department of Mathematics, Institute of Space Sciences, Bucharest, Romania.
Maysaa Mohamed Al Qurashi
- Department of Mathematics, King Saud University, Riyadh 12364, Saudi Arabia.
Abstract
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.
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ISRP Style
Ali Akgül, Yasir Khan, Esra Karatas Akgül, Dumitru Baleanu, Maysaa Mohamed Al Qurashi, Solutions of nonlinear systems by reproducing kernel method, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4408--4417
AMA Style
Akgül Ali, Khan Yasir, Akgül Esra Karatas, Baleanu Dumitru, Al Qurashi Maysaa Mohamed, Solutions of nonlinear systems by reproducing kernel method. J. Nonlinear Sci. Appl. (2017); 10(8):4408--4417
Chicago/Turabian Style
Akgül, Ali, Khan, Yasir, Akgül, Esra Karatas, Baleanu, Dumitru, Al Qurashi, Maysaa Mohamed. "Solutions of nonlinear systems by reproducing kernel method." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4408--4417
Keywords
- Reproducing kernel method
- series solutions
- nonlinear systems.
MSC
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