Abstract
In this paper, we present a new approach to partial fraction decomposition of rational functions with irreducible quadratic factors in the denominators. It improves the Heaviside’s cover-up technique to handle this type of problem via polynomial divisions and substitutions only, with no need to solve for the complex roots of the irreducible quadratic polynomial involved, to use differentiation or to solve a system of linear equations. Some examples of its applications in engineering mathematics are included. Copyright © 2011 Newswood Limited.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the World Congress on Engineering 2011, WCE 2011 |
| Editors | S. I. AO, Len GELMAN, David WL HUKINS, Andrew HUNTER, A. M. KORSUNSKY |
| Place of Publication | Hong Kong |
| Publisher | Newswood Limited |
| Pages | 237-239 |
| Volume | 1 |
| ISBN (Print) | 9789881821065 |
| Publication status | Published - 2011 |
Citation
Man, Y. K. (2011). On partial fraction decomposition of rational functions with irreducible quadratic factors in the denominators. In S. I. Ao, L. Gelman, D. W. L. Hukins, A. Hunter, & A. M. Korsunsky (Eds), Proceedings of the World Congress on Engineering 2011, WCE 2011 (Vol. 1, pp.237-239). Hong Kong: Newswood LimitedKeywords
- Linear differential equations
- The Heaviside’s cover-up technique
- Inverse Laplace transforms
- Partial fraction decomposition