scholarly journals Influence of the Numerical Dispersion Effects in the Modelling of Ultrasonic Measurements

2015 ◽  
Vol 70 ◽  
pp. 532-536 ◽  
Author(s):  
J. Prikšaitis ◽  
L. Mažeika ◽  
R. Barauskas ◽  
E. Žukauskas ◽  
A. Kriščiūnas
2020 ◽  
Vol 4 ◽  
pp. 117-126
Author(s):  
V.L. Skuratnik ◽  
◽  
P.V. Nikolenko ◽  
P.S. Anufrenkova ◽  
◽  
...  

1988 ◽  
Vol 59 (4) ◽  
pp. 335-343
Author(s):  
Yoshitaka NAGAMINE ◽  
Takashi HAYASHI ◽  
Hiroshi SATO ◽  
Akira NISHIDA ◽  
Shigeki KOMATSU

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Xiaomin Liu ◽  
Muhammad Abbas ◽  
Honghong Yang ◽  
Xinqiang Qin ◽  
Tahir Nazir

AbstractIn this paper, a stabilized numerical method with high accuracy is proposed to solve time-fractional singularly perturbed convection-diffusion equation with variable coefficients. The tailored finite point method (TFPM) is adopted to discrete equation in the spatial direction, while the time direction is discreted by the G-L approximation and the L1 approximation. It can effectively eliminate non-physical oscillation or excessive numerical dispersion caused by convection dominant. The stability of the scheme is verified by theoretical analysis. Finally, one-dimensional and two-dimensional numerical examples are presented to verify the efficiency of the method.


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