Numerical solution of regularized long wave equation using Petrov-Galerkin method

2001 ◽  
Vol 17 (7) ◽  
pp. 485-494 ◽  
Author(s):  
Abdulkadir Dogan
Keyword(s):  
Wave Equation ◽  
Galerkin Method ◽  
Numerical Solution ◽  
Long Wave ◽  
Regularized Long Wave Equation

scholarly journals New high-order conservative difference scheme for regularized long wave equation with Richardson extrapolation

2019 ◽  
Vol 23 (Suppl. 3) ◽  
pp. 737-745
Author(s):  
Jin-Song Hu ◽  
Jia-Jia Li ◽  
Xi Wang
Keyword(s):  
Wave Equation ◽  
Difference Scheme ◽  
Numerical Solution ◽  
Richardson Extrapolation ◽  
Discrete Energy ◽  
Linear System Of Equations ◽  
Long Wave ◽  
Implicit Finite Difference Scheme ◽  
Regularized Long Wave Equation ◽  
Discrete Mass

Numerical solution for the regularized long wave equation is considered by a new three-level conservative implicit finite difference scheme coupled with Richardson extrapolation which has the accuracy of O(? + h4). The scheme is a linear system of equations solved without iteratio. The conservation properties of the algorithm are verified by computing the discrete mass and discrete energy. Existence and uniqueness of the numerical solution are proved. Convergence and stability of the scheme are also derived using energy method. The results of numerical experiments show that our proposed scheme is efficiency.

scholarly journals Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation

2019 ◽  
Vol 43 (1) ◽  
pp. 112-125 ◽  
Author(s):  
Dursun IRK ◽  
Pınar KESKİN YILDIZ ◽  
Melis ZORŞAHİN GÖRGÜLÜ
Keyword(s):  
Wave Equation ◽  
Numerical Solution ◽  
B Spline ◽  
Long Wave ◽  
Regularized Long Wave Equation
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