The Chebyshev pseudospectral approximation of the homogeneous initial boundary value problem for a class of multi-dimensional generalized symmetric regularized long wave (SRLW) equations is considered. The fully discr...The Chebyshev pseudospectral approximation of the homogeneous initial boundary value problem for a class of multi-dimensional generalized symmetric regularized long wave (SRLW) equations is considered. The fully discrete Chebyshev pseudospectral scheme is constructed. The convergence of the approximation solution and the optimum error of approximation solution are obtained.展开更多
A numerical method based on the explicit two-step method in time direction and the mixed finite element method in spatial direction is presented for the symmetric regularized long wave(SRLW)equation.The optimal a prio...A numerical method based on the explicit two-step method in time direction and the mixed finite element method in spatial direction is presented for the symmetric regularized long wave(SRLW)equation.The optimal a priori error estimates(O((∆t)^(2)+h^(m+1)+h^(k+1)))for fully discrete explicit two-step mixed scheme are derived.Moreover,a numerical example is provided to confirm our theoretical results.展开更多
In this work,the improved(G′/G)-expansion method is proposed for constructing more general exact solutions of nonlinear evolution equation with the aid of symbolic computation.In order to illustrate the validity of t...In this work,the improved(G′/G)-expansion method is proposed for constructing more general exact solutions of nonlinear evolution equation with the aid of symbolic computation.In order to illustrate the validity of the method we choose the RLW equation and SRLW equation.As a result,many new and more general exact solutions have been obtained for the equations.We will compare our solutions with those gained by the other authors.展开更多
文摘The Chebyshev pseudospectral approximation of the homogeneous initial boundary value problem for a class of multi-dimensional generalized symmetric regularized long wave (SRLW) equations is considered. The fully discrete Chebyshev pseudospectral scheme is constructed. The convergence of the approximation solution and the optimum error of approximation solution are obtained.
基金supported by the National Natural Science Fund of China(11061021,11301258 and 11361035)the Scientific Research Projection of Higher Schools of Inner Mongolia(NJZZ12011 and NJZY13199)+1 种基金the Natural Science Fund of Inner Mongolia Province(2012MS0106 and 2012MS0108)the Program of Higher-level talents of Inner Mongolia University(125119).
文摘A numerical method based on the explicit two-step method in time direction and the mixed finite element method in spatial direction is presented for the symmetric regularized long wave(SRLW)equation.The optimal a priori error estimates(O((∆t)^(2)+h^(m+1)+h^(k+1)))for fully discrete explicit two-step mixed scheme are derived.Moreover,a numerical example is provided to confirm our theoretical results.
基金This project is supported by National Natural Science Foundation of China(No.11071164)Shanghai Natural Science Foundation(No.10ZR1420800)Leading Academic Discipline Project of Shanghai Municipal Government(No.S30501).
文摘In this work,the improved(G′/G)-expansion method is proposed for constructing more general exact solutions of nonlinear evolution equation with the aid of symbolic computation.In order to illustrate the validity of the method we choose the RLW equation and SRLW equation.As a result,many new and more general exact solutions have been obtained for the equations.We will compare our solutions with those gained by the other authors.
