对称正则长波方程的一个新的守恒差分格式

A New Conservative Finite Difference Scheme for Symmetric Regularized Long Wave Equations

本文考虑了具有齐次边界条件的对称正则长波方程的有限差分格式,提出了一个三层守恒的有限差分格式,证明了格式的收敛性和稳定性,从理论上得到了收敛阶为O(h2+τ2).通过数值试验表明,所提的方法是可靠有效的.

A numerical method for an initial-boundary problem of symmetric regularized long-wave equation was considered. A new energy conservative finite difference ＂scheme was proposed. It is proved that the finite difference scheme is convergent in c;rder O（h^2 ＋τ^2） and stable. Numerical experiments show that our method is credible.