Engineering Commons^™

An Engineering Design-Oriented First Year Biomedical Engineering Curriculum, Simon Jones

Faculty Publications - Mechanical Engineering

This Technical Report aims to explain how to apply the discreteWavelet Balance Method (dWBM) for solving periodic differential equations using periodized Daubechies wavelets. The primary goal is to provide the user sufficient details to implement the technique without extensive mathematical background. Chapter 2 of this document reviews the discrete Fourier transform using a multivariate regression approach, followed by a review of the discrete Harmonic Balance Method (dHBM) for approximating solutions to periodic differential equations. It is important the reader complete this chapter, even if they are familiar with the topics, since the approaches demonstrated in Chapter 2 with harmonic functions …