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Electrical and Computer Engineering

Masters Theses

1970

Differential equations, Nonlinear<br />Z transformation<br />Discrete-time systems -- Mathematical models

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Z-Form Solution Of Non-Linear Differential Equations, Allen Joseph Rushing Jan 1970

Z-Form Solution Of Non-Linear Differential Equations, Allen Joseph Rushing

Masters Theses

"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.