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.
|Title of host publication||World Congress on Engineering 2008|
|Editors||S. I. AO, Len GELMAN, David WL HUKINS, Andrew HUNTER, A. M. KORSUNSKY|
|Place of Publication||Hong Kong|
|Publisher||Newswood Ltd., International Association of Engineers|
|Publication status||Published - 2008|
CitationMan, 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.
- Partial fractions
- Heaviside’s approach
- Inverse Laplace transform
- Differential equations