
Accession Number : AD0705490
Title : APPROXIMATE SOLUTIONS OF A NONLINEAR DIFFERENTIAL EQUATION USING LAPLACETRANSFORM AND REVERSIONOFSERIES 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 reversionofseries method is extended to the s  domain by using nonlinear Laplace transforms. The reversion of series in the s  domain is applied to a nonlinear 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 steadystate value and applying it to the reversion approximation. The nonlinear 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