A New Conservation Difference Approximation for Generalized Symmetric Regularized Long Wave Equation

The numerical solution for an initial-boundary value problem of generalized symmetric regularized long wave (GSRLW) equation is considered. A finite difference scheme of three levels is proposed. This scheme simulates the conservation properties of the problem well. It is proved that the finite difference scheme is convergent with order 2 and stable without condition by discrete functional analysis method. The numerical examples show this scheme is convergent with order 2 and has higher precision than the conservative scheme with two levels.