【摘要】 本文考察一类具耗散的广义KdV方程组■+（gradφ（■））_x+■_xxx-α■_xx+γ■ =■（x,t,■）的周期初值问题的显式差分格式．利用有界延拓法证明了该差分格式的收敛性与稳定性,并给出了算法和数值例子．更多还原

【Abstract】 In this paper,the following dissipative generalized KdV equation with periodic initial value problem is considered:■+（gradφ（■））_x+■_xxx-α■_xx+γ■ =■（x,t,■）. An explicit finite difference scheme is proposed.Moreover,its convergence and stability are proved by bounded extension method.Finally,the theoretical results are checked by numerical examples.更多还原