An improved Heaviside approach to partial fraction decomposition and its applications

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

An improved Heaviside approach to compute the partial fraction expansions of proper rational functions is presented. This method involves simple substitutions and polynomial divisions only, without the use of differentiation or solution of a system of linear equations. Examples on its applications in some topics of engineering mathematics, such as indefinite integration, inverse Laplace transforms and differential equations, are included. Copyright © 2008 Newswood Ltd., International Association of Engineers.
Original languageEnglish
Title of host publicationWorld Congress on Engineering 2008
EditorsS. I. AO, Len GELMAN, David WL HUKINS, Andrew HUNTER, A. M. KORSUNSKY
Place of PublicationHong Kong
PublisherNewswood Ltd., International Association of Engineers
Pages978-980
Volume2
Publication statusPublished - 2008

    Fingerprint

Citation

Man, Y.-K. (2008). An improved Heaviside approach to partial fraction expansion and its applications. In S. I. Ao, L. Gelman, D. W. L. Hukins, A. Hunter, & A. M. Korsunsky (Eds.), World Congress on Engineering 2008 (Vol. 2, pp. 978-980). Hong Kong: Newswood Ltd., International Association of Engineers.

Keywords

  • Partial fractions
  • Heaviside’s approach
  • Inverse Laplace transform
  • Differential equations