Numerical Integration of Differential Equations Occurring in Two-Point Boundary Value Problems

Jackson, R.B.; Robinson, A.R.

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https://hdl.handle.net/2142/13920 Copy

Description

Title

Numerical Integration of Differential Equations Occurring in Two-Point Boundary Value Problems

Author(s)

• Jackson, R.B.
• Robinson, A.R.

Issue Date

1979-01

Keyword(s)

• Differential equations
• Boundary value problems

Abstract

An accurate procedure is described for numerically solving two-point boundary value problems which contain growing solutions. The procedure involves the process of reducing the order of a differential equation when one solution is known. Two applications of the procedure are given, a fourth order differential equation with two growing solutions and a system of eighth order differential equations of motion for a hemispherical shell. In both examples before the procedure is started, the equations are rewritten as a system of first order differential equations. It was found that when solving two-point boundary value problems by the reduction of order method, first order differential equations were generally easier to work with than higher order differential equations. For both applications a computer program was developed to solve the system of differential equations.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-458

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/13920

Sponsor(s)/Grant Number(s)

• Office of Naval Research. Department of the Navy.
• Contract No. N00014-75-C-0164
• Project NR 064-183

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