A Three Weighted Linear Differential Format Of Dissipative Symmetric Regularized Long Wave Equation

In this paper, a finite difference method is proposed for the initial value problems of dissipative symmetric regularized long wave equation was presented.An energy conservative implicit weighted finite difference of three levels was proposed.The scheme has the advantages that it preserves some invariant properties of the original differential equation.Existence and uniqueness of numerical solutions were derived, It is proved that the finite difference scheme is convergent in order O(τ²+h²) and stable.The results attained form numerical experiments show that the feature of this method is reliable and efficient.