A linear finite difference scheme for the generalized dissipative symetric regularized long wave equation with damping
نویسندگان
چکیده
منابع مشابه
A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term
We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term by finite difference method. A linear three-level 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 energ...
متن کاملThe Generalized Regularized Long Wave Equation
where and are positive constants, was first proposed by Peregrine [74] for modeling the propagation of unidirectional weakly nonlinear and weakly dispersive water waves. Later on Benjamine et al. [9] proposed the use of the RLW equation as a preferred alternative to the more classical Korteweg de Vries (KdV) equation to model a large class of physical phenomena. These authors showed that RL...
متن کاملA New Conservative Finite Difference Method for the Nonlinear Regularized Long Wave Equation
In this paper, a finite difference method for initial-boundary value problem of nonlinear Regularized-Long-Wave equation was considered. A energy conservative finite difference scheme of three levels was proposed, convergence and stability of difference solution was proved, if picking suitably,the accuracy of the new scheme is higher than others, so the method is efficient and reliable.
متن کاملA Compact Fourth-order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms
Fuqiang Lu, Zhiyao Song and Zhuo Zhang Key Laboratory of Virtual Geographic Environment (Nanjing Normal University), Ministry of Education, Nanjing, 210023, China State Key Laboratory Cultivation Base of Geographical Environment Evolution (Jiangsu Province), Nanjing, 210023, China Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanji...
متن کاملG. Berikelashvili and M. Mirianashvili ON A THREE LEVEL DIFFERENCE SCHEME FOR THE REGULARIZED LONG WAVE EQUATION
We consider an initial boundary-value problem for the Regularized Long Wave equation. A three level conservative difference scheme is studied. On the first level a two level scheme is used to find the values of the unknown functions which ensures the expression of the initial energies only by the initial data. The obtained algebraic equations are linear with respect to the values of the unknown...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Thermal Science
سال: 2019
ISSN: 0354-9836,2334-7163
DOI: 10.2298/tsci180516086w