Novel implicit/explicit local conservative schemes for the regularized long-wave equation and convergence analysis
نویسندگان
چکیده
منابع مشابه
On the convergence of a high-accuracy compact conservative scheme for the modified regularized long-wave equation.
In this article, we develop a high-order efficient numerical scheme to solve the initial-boundary problem of the MRLW equation. The method is based on a combination between the requirement to have a discrete counterpart of the conservation of the physical "energy" of the system and finite difference method. The scheme consists of a fourth-order compact finite difference approximation in space a...
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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.
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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...
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Department of Physics and Pre-Engineering Delaware State University, Dover, DE 19901-2277, USA Abstract The soliton perturbation theory is used to obtain adiabatic parameter dynamics of solitons due to the splitted regularized long wave equation in presence of perturbation terms. The adiabatic change of soliton velocity is also obtained in this paper. Mathematics Subject Classification: 35Q51, ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2017
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.09.047