预处理举例：分数阶扩散方程 「-D[(oD-8-(1-)D）国=国， x∈0,1，K(a=1+8x,3=0.5,0=0.5 Convergence history for N=4096 Condition number 10 一GMRES n cond(A) 28 5191 10 29 14813 210 42143 211 119653 102 212 339259 213 961081 10 0 200 400 00 80 1000 http://aath.ecnu.edu.cn/-jypan 8/72预处理举例: 分数阶扩散方程    − D [ K(x) ( θ 0 D 1−β x −(1 − θ) x D 1−β 1 ) u(x) ] = f(x), x ∈ [0, 1], K(x) = 1 + 8x, β = 0.5, θ = 0.5. Condition number n cond(A) 2 8 5191 2 9 14813 2 10 42143 2 11 119653 2 12 339259 2 13 961081 Convergence history for N = 4096 http://math.ecnu.edu.cn/~jypan 8/72