An invariant-imbedding solution of general linear two-point boundary-value problems

摘要

The method presented employs invariant imbedding to solve a general linear two-point boundary-value problem with general linear boundary conditions. The solution is obtained by converting the linear boundary-value problem into a set of nonlinear initial-value problems. Furthermore, the path to the solution is not specified by the method and therefore can be chosen to minimize computational difficulties.