【摘要】 论文的结论是 :设 m- 1阶线性常微分方程的一般形式为dm-1udxm-1+a1( x) dm-2 udxm-2 +… +am-2 ( x) dudx+am-1( x) u =f ( x)那么 ,当限定 x∈ [0 ,1]时 ,它的近似解为u N( x) =∑2 N-1k=-m+1c Nk Nm( 2 N x - k)其中 ,m≥ 2 ,Nm 是 m阶样条函数 .c Nk 是待定常数 ,它由 m- 1个定解条件和导出等式产生的 2 N个条件决定更多还原

【Abstract】 The conclusion of this treatise are: Assuming the common expression of m-1 factorial linear constant differential equation as : d m-1 udx m-1 + a 1(x)d m-2 udx m-2 +…+a m-2 (x)dudx+a m-1 (x)u(x)=f(x) Then : When the limited range are x∈[0,1],the approximate conseqent should be:u N(x)=∑2 N-1k=-m+1c N kN m(2 Nx-k)Thereinto:m≥2,N m is m factorial transect function c N k is undetermined constant,which is decided on m-1 determinate terms and 2 N terms derived from equality更多还原