Title

Analytical Solution of Hermite Collocation Discretization of Self-Adjoint Ordinary Differential Equations

Document Type

Article

Publication Date

1-1-2002

Abstract

We give herein analytical formulas for the solutions of a class of boundary value problems (BVPs) discretized by Hermite collcation. Specifically, our ordinary differential equations (ODEs) are self-adjoint, homogeneous, and have constant coefficients. Both Dirichlet and Neumann boundary conditions are considered. Analysis is provided which compares the discrete collocation solultion to the continuous solution. Computational examples are given.

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