A numeral experiment: a study on chaos.

Date

4-1994

Degree

Bachelor of Science in Applied Mathematics

College

College of Arts and Sciences (CAS)

Adviser/Committee Chair

Rodolfo M. Castillo

Abstract

The general solution of nonlinear differential equations cannot be found analytically. The alternative is to solve the equations numerically. These solutions have been shown to exhibit a sensitivity to initial conditions. With the use of numerical methods, it is possible that the errors introduced would affect the solutions such that significantly different trajectories are produced. In view of this, the performance of the QR algorithm and a second-order Runge-Kutta method is examined when applied to the Lorenz system.

Language

English

Location

UPLB Main Library Special Collections Section (USCS)

Call Number

Thesis

Document Type

Thesis

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