Accession Number : AD0706006

Title :   ANALYSIS OF THE UTILITY OF LAPLACE TRANSFORMS FOR NON-LINEAR DIFFERENTIAL EQUATIONS.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Chwatek,Walter Thomas

Report Date : DEC 1969

Pagination or Media Count : 39

Abstract : The use of Laplace Transforms has long been one of the primary methods used in solving linear differential equations but recently the extension and application of this method to the solution of basic non-linear systems has been proposed. This latter technique is presented and expanded to include various non-linear functions. The applicability of this method to systems of varied form and complexity is then explored and the validity of the derived solution investigated. (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, *INTEGRAL TRANSFORMS), (*NUMERICAL INTEGRATION, NONLINEAR SYSTEMS), NUMERICAL ANALYSIS, MATRICES(MATHEMATICS), SERIES(MATHEMATICS), THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE