Solutions of Nonlinear Systems by Reproducing Kernel Method
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GOLD
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Yes
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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. (C) 2017 All rights reserved.
Description
Khan, Yasir/0000-0002-6386-6181
ORCID
Keywords
Reproducing Kernel Method, Series Solutions, Nonlinear Systems, series solutions, Reproducing kernel method, nonlinear systems, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Boundary value problems for mixed-type systems of PDEs, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Other numerical methods in solid mechanics, reproducing kernel method
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Citation
Akgul, Ali...et al. (2017). Solutions of nonlinear systems by reproducing kernel method, Solutions of nonlinear systems by reproducing kernel method, 10(8), 4408-4417.
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OpenCitations Citation Count
21
Volume
10
Issue
8
Start Page
4408
End Page
4417
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