Other equations 考虑二阶自共轭方程: d de +(x)(x)=f( 其中p(x)∈Ch([a,b)2p(x)≥pmn>0,g,f∈C0(a,b) 且q(x)≥0.作剖分 <1<…<x;<…<xN=b 取相邻节点的中点x==2(x2-1+)由这些半整数 点形成对偶剖分 =0<14号n<x-号<…<NmMbOther equations − d dx  p du dx  + q ( x ) u ( x) = f ( x ) p ( x ) ∈ C 1([a, b]),p ( x ) ≥ pmin > 0,q, f ∈ C 0([a, b]) q ( x ) ≥ 0. a = x 0 < x 1 < · · · < x i < · · · < x N = b x x − 1 2 = 1 2 ( x i − 1 + x i ) a = x 0 < x 1 2 < x 3 2 < · · · < x i − 1 2 < · · · < x N − 1 2 < x N = b difference methods for BVP, 2003, Fudan University, Chen Wenbin – p.9/50