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

Stephen H. Brill

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

Stephen H. Brill

Mathematics Department

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	International Journal of Differential Equations and Applications
State	Published - 1 Jan 2002

EGS Disciplines

Mathematics

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title = "Analytical Solution of Hermite Collocation Discretization of Self-Adjoint Ordinary Differential Equations",

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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N2 - 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.

AB - 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.

UR - https://scholarworks.boisestate.edu/math_facpubs/82

M3 - Article

JO - International Journal of Differential Equations and Applications

JF - International Journal of Differential Equations and Applications

ER -

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

Abstract

EGS Disciplines

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