Distributed-network realizations for the simulation of partial differential equations

Author

Roy Dale Hensley

Abstract

"A method is developed for the simulation of the partial differential equation

-u_xx + k_ou_tt + k_lu_t +k₂u = g(t)

for various boundary conditions. The boundary conditions are used to classify the problems into types and the Laplace transformed solution of the most general problem of each type is obtained.

Synthesis techniques are presented for the realization of circuits containing distributed networks that can be used to simulate the partial differential equation for given boundary conditions. Several heat flow and vibrating string examples are included to illustrate the application of the method to physical problems."--Abstract, page ii

Advisor(s)

Bourquin, Jack J.

Committee Member(s)

Peirson, Robert C.
Bertnolli, Edward C.
Pagano, Sylvester J., 1924-2006
Plummer, O. R.

Department(s)

Electrical and Computer Engineering

Degree Name

Ph. D. in Electrical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1972

Pagination

x, 121 pages

Note about bibliography

Includes bibliographical references (pages 119-120).

Rights

© 1972 Roy Dale Hensley, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Differential equations, Partial -- Data processingElectronic data processing -- Distributed processingDistributed databases

Thesis Number

T 2778

Print OCLC #

6034350

Electronic OCLC #

904147531

Recommended Citation

Hensley, Roy Dale, "Distributed-network realizations for the simulation of partial differential equations" (1972). Doctoral Dissertations. 197.
https://scholarsmine.mst.edu/doctoral_dissertations/197