摘要
本文考虑下列非线性Sobolev方程的周期初值问题:其中J=[o,T](T>o).a,c是x的1一周期函数,α、β、γ关于x是1一周期的.当a,c,a,,B和,为光滑函数时,可得(1)的光滑解存在(见文【1D.文【2〕研究了(1)的谱方法,文(3)研究了C-N差分格式,其差分方程为非线性方程组,难以求解.
In this paper, a class of Sobolev equation with period initial value problem is considered. A 'Leap-frog' finite difference scheme is structured. Solvability and convergence of the finite difference scheme are developed. Moreover, unconditionally stability with disturbances of the coefficients and initial is obtained. This finite difference scheme is easily solved because it is a tridiagonal linear system.
出处
《应用数学与计算数学学报》
1991年第1期90-93,共4页
Communication on Applied Mathematics and Computation
基金
陕西师范大学青年科学基金
