[PDF] Top 20 A high-accuracy compact conservative scheme for generalized regularized long-wave equation

... GRLW equation was first put forward by Peregrine [] and Benjamin et ...small-amplitude long waves on the surface of water in a ...for long waves in nonlinear dispersive ...RLW equation. When p ... See full document

... the conservative scheme is better than the nonconservative ...nonconservative scheme may easily show nonlinear blow ...differential equation is a criterion to judge the success of a numerical ... See full document

... the high-order compact finite difference scheme (CFDS) has widely been paid attention and imple- mented for numerical simulation of various types of partial differential ...Burgers’ equation ... See full document

... (KdV) equation to describe the behavior of the undu- lar bore by Peregrine [] and plays a very important role in physics media, since it describes phenomena with weak nonlinearity and dispersion waves, including ... See full document

... Burgers’ equation and Navier-Stokes equations by Weinan [], Fourier spectral projec- tion method for Navier-Stokes equations by Guo and Zou [], fully discrete (discrete both in space and time) pseudospectral ... See full document

... way wave equation and second-order linear wave equation with constant ...lax-wendroff scheme, the leapfrog scheme, upwind scheme finite difference ... See full document

... (KdV) equation for the lowest order term in the perturbation expansion, the solution of which may be described by solitons (Davidson ...linear wave analysis of the concerned problem and the wave ... See full document

... Abstract. The extended simplest equation method is used to construct exact solutions of the modified Benjamin-Bona-Mahony (mBBM) equation. The results obtained are in the form of hyperbolic, trigonometric, ... See full document

... Abstract. High-order Discontinuous Galerkin Methods (DGM) are now routinely used for simulation of wave propagation, especially for geophysical ...the high-order space discretization, it is relevant ... See full document

... has long been a major concern for both mathematicians and ...non-linear wave phenomena observed in fluid dynamics, plasma and optical fibers are often modeled by the bell-shaped sech solutions and the ... See full document

... Scheme 2.2 Scheme 3.1 Scheme 2.2 Scheme 3.1 Scheme 2.2 Scheme 3.1 t 2 4.6363e − 8 4.6358e − 8 5.5803e − 9 5.5749e − 8 1.0400e − 9 1.0340e − 9 t 4 1.2377e − 7 1.2376e − 7 1.8485e ... See full document

... Tianjin High School Science and Technology Fund Planning Project under Grant No: JWK1603, and the National Natural Science Foundation of China under Grant ... See full document

... a compact difference scheme is ...the compact scheme is ...several conservative compact schemes are constructed for the nonlinear Schrödinger equation with wave ... See full document

... R´ esum´ e. Le processus biophysique de polym´ erisation de prot´ eines entre en jeu dans diff´ erentes maladies. Math´ ematiquement, ceci est g´ en´ eralement mod´ elis´ e par des ´ equations de type agr´ egation- ... See full document

... second-order accuracy in both time and ...the equation needed to be solved in each step is relatively simple, and the tri-diagonal matrix algorithm can be used to solve the equation ... See full document

... This work is organized as follows. In Sect. 2, we present a finite difference scheme for Problem (1.1a)–(1.1e). In Sect. 3, the error equations of the scheme are analyzed with the DFT and the corresponding ... See full document

... It is known that the KS equation has travelling wave solution in terms of hyperbolic tangent function, whereas the KdVB equation has travelling wave solution invo[r] ... See full document

... Finally, we test the discrete energy conservation law of the difference scheme (2.9)– (2.11). The values of the discrete energy at different moments for α = 1.1, 1.75, 1.99, 2.0 are listed in Table 3, where the ... See full document

... scheme is obtained based on the anisotropic interpolation theorem proposed in [5-7], and the integral identities developed in [8-10] with the help of interpolation of solution to the problem cosidered, instead of ... See full document

... modified regularized long wave (MRLW) equation is obtained by subdomain finite element method using quartic B-spline ...Solitary wave motion, interaction of two and three solitary waves ... See full document