Masters Theses

Abstract

"Three numerical approximation techniques, called the Initial step, Shooting, and Direct Finite Difference Techniques, respectively, are compared and discussed as they apply to the solution of both linear and non-linear boundary-value problems of the form y"=f(x,y,y') with endpoint conditions y(xo)=yo and y(xn)=yn. The techniques are compared with respect to speed and accuracy by comparing the solution of each problem considered four times, each time for a different increment value, and comparing the errors at four pivotal points chosen at equally spaced distances over the domain of the function, to give an indication of the accuracy of each technique over the complete interval. For each technique, a detailed discussion of limitations and difficulties which affect the solution of the boundary-value problem is studied. Also modifications to increase accuracy and speed are suggested for the techniques. The results of this study show that each technique has certain advantages and disadvantages for particular types of boundary-value problems. However, when a large number of different boundary-value problems are considered, none of the techniques is always considered most appropriate"--Abstract, page ii.

Advisor(s)

Lee, Ralph E., 1921-2010

Committee Member(s)

Winrich, Lonny B.
Wellek, Robert M.

Department(s)

Computer Science

Degree Name

M.S. in Computer Science

Publisher

University of Missouri--Rolla

Publication Date

1968

Pagination

vi, 60 pages

Note about bibliography

Includes bibliographical references (pages 180-182).

Rights

© 1968 William Richard Krall, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Boundary value problems
Differential equations -- Numerical solutions

Thesis Number

T 2163

Print OCLC #

5999953

Electronic OCLC #

807751878

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