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

Authors

Stephen H. Brill, Boise State UniversityFollow

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.

Publication Information

Brill, Stephen H.. (2002). "Analytical Solution of Hermite Collocation Discretization of Self-Adjoint Ordinary Differential Equations". International Journal of Differential Equations and Applications, 6(1), 1-18.