[PDF] Top 20 A Compact Finite Difference Method for Solving the General Rosenau–RLW Equation

... three–step method is used for the time discretization of the above described ...presented method since it does not require extra effort to deal with the nonlinear ... See full document

... Convection–diffusion equation is a class of very important equations, it can describe many physical phenomena, such as atmospheric pollutants, dis- tribution and diffusion of the oceans and rivers, heat conduction ... See full document

... The scheme in (29)-(32) is a nonlinear implicit scheme of fourth order accuracy in space and second order in time. To obtain the numerical solution, we need to solve a block nonlinear tridiagonal system at each time ... See full document

... In this section, we conduct numerical experiments with three test problems chosen from the literature to test the high-order accuracy of the BCD scheme. All problems are de- fined on the unit square domain Ω = (0, 1) × ... See full document

... In this article, we provide a numerical exposition of flow phenomena for an incompress- ible anomalous Oldroyd-B fluid using a standard Galerkin finite element method (FEM) blended with finite difference approximation ... See full document

... Galerkin method by Choo et al. 4 , orthogonal cubic spline collocation method by Manickam 5 , and finite difference method by Chung 6 and Omrani et ... See full document

... This equation has been applied in many various fields and its application for describing wave propagation and interaction has been studied ...KdV equation such as the modified Legendre rational spectral ... See full document

... 21. Minh, T. N., Shiono, K. and Masumoto, S. Application of General Cubic B- Spline Function (GCBSF) for Geological Surface Simulation. International Symposium on Geoinformatics for Spatial Infrastructure ... See full document

... for solving the coupled nonlinear Schrödinger equation are derived in the last two ...decades. Finite difference and finite element methods are used to solve this system by Ismail ... See full document

... –1. There have been different kinds of numerical methods on the solution for various Schrödinger equations [5–10]. For example, Bao and Cai [11] established uniform error estimates of finite differ- ence methods for the NLS ... See full document

... The finite-difference method is a standard numerical method for solving boundary value ...exact) difference approximation for some ordi- nary and partial differential equations ... See full document

... tively. The convergence and stability of the finite difference schemes were proved in the theory, and their numerical convergence orders are O(τ  + h  ). In [–], some new finite difference schemes for the ... See full document

... Abstract In this paper, we are going to obtain the soliton solution of the generalized Rosenau- Kawahara-RLW equation that describes the dynamics of shallow water waves in oceans and rivers. We ... See full document

... This equation is usually called the Rosenau-RLW (RRLW) ...difference method for the RRLW ...coupling equation of KdV and RRLW is also solved through a three-level average implicit finite ... See full document

... conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW ...energy method that the scheme is uniquely solvable, unconditionally ... See full document

... This equation is usually called the Rosenau-RLW ...The Rosenau-RLW equation ...the general Rosenau-RLW ...eral Rosenau-RLW ...ment ... See full document

... Burgers’ equation also grew as time ...space-time finite element approach to Burgers’ equation, Kakuda and Tosaka (1990) used generalized boundary element method, Bar-Yoseph et ...element ... See full document

... dispersion equation is presented, and the error between the numerical wavenumber and the exact wavenumber is then ...element method (FEM) are also ...Helmholtz equation, convergence analysis and ... See full document

... (RLW) equation, an important partial differential equation with quadratic nonlinearity, describing a large number of physical ...the RLW equation with the aid of a combination of the ... See full document

... using finite sine integral transform ...present method is very simple to apply and performed well for the type of plate considered in this study, going by its ...The finite integral transform is an ... See full document