Z-form solution of non-linear differential equations

Author

Allen Joseph Rushing

Abstract

"The "Z-Forms" developed by Boxer and Thaler from Z-Transform theory are reviewed. Iteration is shown to increase accuracy when Z-Forms are used to obtain numerical solutions to some non-linear differential equations. Machine results are presented for example problems. Error estimates and convergence conditions are discussed. The method is usable only when 2- or 3-digit accuracy is acceptable. For some classes of equations the Z-Form method compares favorably to other numerical methods in time required to set up the problem and in machine time required for solution--Abstract, Page ii.

Advisor(s)

Newell, John A.

Committee Member(s)

Crosby, Herbert A., 1926-1992

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1970

Pagination

ix, 57 Pages

Note about bibliography

Includes bibliographical references (pages 143-144).

Rights

© 1970 Allen Joseph Rushing, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Differential equations, Nonlinear
Z transformation
Discrete-time systems -- Mathematical models

Thesis Number

T 2313

Print OCLC #

6013508

Electronic OCLC #

844945393

Link to Catalog Record

http://merlin.lib.umsystem.edu/record=b1067219~S5

Recommended Citation

Rushing, Allen Joseph, "Z-form solution of non-linear differential equations" (1970). Masters Theses. 7060.
https://scholarsmine.mst.edu/masters_theses/7060