Abstract A method is presented for the numerical solution of odd-order nonlinear boundary value problems with complementary Lidstone boundary conditions. The approximate solution is given in terms of spline interpolation functions, written in the Lidstone second type polynomial basis. Some results on local and global errors are given. Numerical tests are presented.

中文翻译：

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奇数阶 BVP 的基于 Lidstone 的搭配样条

摘要 提出了一种具有互补Lidstone边界条件的奇阶非线性边值问题的数值求解方法。近似解是根据样条插值函数给出的，写在 Lidstone 第二类多项式基础上。给出了局部和全局误差的一些结果。给出了数值测试。