A decoupled and conservative difference scheme with fourth-order accuracy for the Symmetric Regularized Long Wave equations

2013 ◽  
Vol 219 (17) ◽  
pp. 9461-9468 ◽  
Author(s):  
Tao Nie
Keyword(s):  
Difference Scheme ◽  
Fourth Order ◽  
Wave Equations ◽  
Order Accuracy ◽  
Conservative Difference Scheme ◽  
Long Wave ◽  
Conservative Difference

scholarly journals One approach to constructing a conservative difference scheme for the two-phase filtration problem

2017 ◽  
pp. 1-12
Author(s):  
Igor Viktorovich Popov ◽  
Yuri Andreevich Poveschenko ◽  
Sergey Vladimirovich Polyakov ◽  
Parvin Ilgar kizi Rahimli
Keyword(s):  
Difference Scheme ◽  
Two Phase ◽  
Filtration Problem ◽  
Conservative Difference Scheme ◽  
Conservative Difference

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.

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