Abstract

A two-parameter family of algorithms for finding an approximate solution to a linear two-point boundary value problem for a system of ordinary differential equations is offered. The convergence conditions for the algorithms are obtained. The necessary and sufficient coefficient conditions for the well-posedness of considered problem are established.

中文翻译：

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一种寻找线性两点边值问题解决方案的算法

摘要

提供了用于寻找常微分方程组线性两点边值问题的近似解的两参数算法系列。得到了算法的收敛条件。建立了考虑问题的适定性的必要和充分的系数条件。