Cell-centered finite difference method for parabolic equation

2014 ◽  
Vol 235 ◽  
pp. 66-79 ◽  
Author(s):  
Wenwen Xu
Keyword(s):  
Parabolic Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method

scholarly journals A Chebyshev Spectral Method for Normal Mode and Parabolic Equation Models in Underwater Acoustics

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Houwang Tu ◽  
Yongxian Wang ◽  
Wei Liu ◽  
Xian Ma ◽  
Wenbin Xiao ◽  
...  
Keyword(s):  
Parabolic Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Spectral Method ◽  
Normal Mode ◽  
Ideal Fluid ◽  
Difference Method ◽  
Acoustic Propagation ◽  
Underwater Acoustic ◽  
Chebyshev Spectral Method

In this paper, the Chebyshev spectral method is used to solve the normal mode and parabolic equation models of underwater acoustic propagation, and the results of the Chebyshev spectral method and the traditional finite difference method are compared for an ideal fluid waveguide with a constant sound velocity and an ideal fluid waveguide with a deep-sea Munk speed profile. The research shows that, compared with the finite difference method, the Chebyshev spectral method has the advantages of a high computational accuracy and short computational time in underwater acoustic propagation.

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