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A numerical method for solving the space fractional Navier-Stokes equations
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  • Wei Jiang,
  • Zihan Yue,
  • Zhong Chen,
  • Boying Wu,
  • Biao Zhang
Wei Jiang
Harbin Institute of Technology Weihai

Corresponding Author:[email protected]

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Zihan Yue
Harbin Institute of Technology
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Zhong Chen
Harbin Institute of Technology Weihai
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Boying Wu
Harbin Institute of Technology
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Biao Zhang
Harbin Institute of Technology
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Abstract

In this work, bases on the reproducing kernel theory and collocation method, we study the space Riesz fractional Navier-Stokes equations, and propose the numerical method to solve it. Firstly the new base space can be constructed by the spline and reproducing kernel space. The ε-approximate solution in binary spline space in the form of finite terms can be derived. Through using the collocation method, the approximate problem is solved. In addition, we provide analysis of the stability and convergence. In final, two numerical examples are provided to show the effectiveness of our method.