Numerical investigation of nonlinear generalized regularized long wave equation via delta-shaped basis functions
نویسندگان
چکیده
منابع مشابه
The 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 Meshless Method Using the Radial Basis Functions for Numerical Solution of the Regularized Long Wave Equation
This article discusses on the solution of the regularized long wave (RLW) equation, which is introduced to describe the development of the undular bore, has been used for modeling in many branches of science and engineering. A numerical method is presented to solve the RLW equation. The main idea behind this numerical simulation is to use the collocation and approximating the solution by radial...
متن کاملExponential B-spline collocation method for numerical solution of the generalized regularized long wave equation
The aim of the present paper is to present a numerical algorithm for the time-dependent generalized regularized long wave equation with boundary conditions. We semi-discretize the continuous problem by means of the Crank–Nicolson finite difference method in the temporal direction and exponential B-spline collocation method in the spatial direction. The method is shown to be unconditionally stab...
متن کاملOptimization of Solution Regularized Long-wave Equation by Using Modified Variational Iteration Method
In this paper, a regularized long-wave equation (RLWE) is solved by using the Adomian's decomposition method (ADM) , modified Adomian's decomposition method (MADM), variational iteration method (VIM), modified variational iteration method (MVIM) and homotopy analysis method (HAM). The approximate solution of this equation is calculated in the form of series which its components are computed by ...
متن کاملStable and Unstable Solitary-Wave Solutions of the Generalized Regularized Long-Wave Equation
Stable and Unstable Solitary-Wave Solutions of the Generalized Regularized Long-Wave Equation J. L. Bona,1 W. R. McKinney,2 and J. M. Restrepo3,∗ 1 Department of Mathematics and Texas Institute for Computational and Applied Mathematics, University of Texas, Austin, TX 78712, USA 2 Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA 3 Mathematics Department and Pro...
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: An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
سال: 2020
ISSN: 2146-5703,2146-0957
DOI: 10.11121/ijocta.01.2020.00881