scholarly journals A TVD-WAF-based hybrid finite volume and finite difference scheme for nonlinearly dispersive wave equations

2015 ◽  
Vol 8 (3) ◽  
pp. 239-247 ◽  
Author(s):  
Jing Yin ◽  
Jia-wen Sun ◽  
Zi-feng Jiao
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Volume ◽  
Finite Difference Scheme ◽  
Wave Equations ◽  
Dispersive Wave

scholarly journals C-N Difference Schemes for Dissipative Symmetric Regularized Long Wave Equations with Damping Term

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Jinsong Hu ◽  
Bing Hu ◽  
Youcai Xu
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Wave Equations ◽  
Numerical Solutions ◽  
Initial Boundary ◽  
Damping Term ◽  
Discrete Energy ◽  
Initial Boundary Problem ◽  
Long Wave

We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term. Crank-Nicolson nonlinear-implicit finite difference scheme is designed. Existence and uniqueness of numerical solutions are derived. It is proved that the finite difference scheme is of second-order convergence and unconditionally stable by the discrete energy method. Numerical simulations verify the theoretical analysis.

scholarly journals A hybrid finite-volume and finite difference scheme for depth-integrated non-hydrostatic model

2017 ◽  
Vol 31 (3) ◽  
pp. 261-271 ◽  
Author(s):  
Jing Yin ◽  
Jia-wen Sun ◽  
Xing-gang Wang ◽  
Yong-hai Yu ◽  
Zhao-chen Sun
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Volume ◽  
Finite Difference Scheme ◽  
Hydrostatic Model
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