Accession Number : AD0705490

Title :   APPROXIMATE SOLUTIONS OF A NON-LINEAR DIFFERENTIAL EQUATION USING LAPLACE-TRANSFORM AND REVERSION-OF-SERIES TECHNIQUES.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Tarnopilsky,Walter

Report Date : DEC 1969

Pagination or Media Count : 56

Abstract : The reversion-of-series method is extended to the s - domain by using non-linear Laplace transforms. The reversion of series in the s - domain is applied to a non-linear differential equation and approximate solutions are obtained. The approximate solution is modified for the case where the steady state is a constant value by calculating the exact steady-state value and applying it to the reversion approximation. The non-linear differential equation considered is Duffing's equation with a damping term and sinusoidal and constant forcing functions. The theoretical solutions are compared to machine solutions. (Author)

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

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE