Conservative and fourth-order compact difference schemes for the generalized Rosenau–Kawahara–RLW equation

2020 ◽  
Author(s):  
Xiaofeng Wang ◽  
Hong Cheng ◽  
Weizhong Dai
Keyword(s):  
Fourth Order ◽  
Difference Schemes ◽  
Compact Difference Schemes ◽  
Compact Difference ◽  
Rlw Equation

scholarly journals Fourth-Order Compact Difference Schemes for the Riemann-Liouville and Riesz Derivatives

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Yuxin Zhang ◽  
Hengfei Ding ◽  
Jincai Luo
Keyword(s):  
Fourth Order ◽  
Numerical Approximation ◽  
Difference Schemes ◽  
Order Convergence ◽  
Transform Method ◽  
Numerical Examples ◽  
Compact Difference Schemes ◽  
Compact Difference ◽  
The Fourier Transform ◽  
Convergence Orders

We propose two new compact difference schemes for numerical approximation of the Riemann-Liouville and Riesz derivatives, respectively. It is shown that these formulas have fourth-order convergence order by means of the Fourier transform method. Finally, some numerical examples are implemented to testify the efficiency of the numerical schemes and confirm the convergence orders.

Simulating waves in flows by Runge-Kutta and compact difference schemes

AIAA Journal ◽  
1995 ◽  
Vol 33 (3) ◽  
pp. 421-429 ◽  
Author(s):  
Sheng-Tao Yu ◽  
Kwang-Chung Hsieh ◽  
Y.-L. Peter Tsai
Keyword(s):  
Difference Schemes ◽  
Compact Difference Schemes ◽  
Compact Difference ◽  
Runge Kutta
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