Abstract
We present a synthetic division approach to compute partial fraction decompositions of rational functions. This method can determine the unknown partial fraction coefficients successively, without the need to use differentiation or to solve a system of linear equations. Examples of its applications in indefinite integration, Laurent series, inverse Laplace transform, linear ordinary differential equations, and linear recursive relations are provided. Copyright © 2009 American Institute of Physics.
| Original language | English |
|---|---|
| Title of host publication | Current themes in engineering science 2008: Selected presentations at the World Congress on Engineering, 2008 |
| Editors | Alexander M. KORSUNSKY |
| Place of Publication | Melville, N.Y. |
| Publisher | American Institute of Physics |
| Pages | 71-82 |
| ISBN (Print) | 9780735406759, 0735406758 |
| DOIs | |
| Publication status | Published - 2009 |
Citation
Man, Y. K. (2009). Partial fraction decomposition by synthetic divisions and its applications. In A. M. Korsunsky (Ed.), Current themes in engineering science 2008: Selected presentations at the World Congress on Engineering, 2008 (pp. 71-82). Melville, N.Y.: American Institute of Physics.Keywords
- Synthetic division
- Partial fraction decomposition
- Indefinite integration
- Laurent series
- Inverse Laplace transform
- Linear ordinary differential equations
- Linear recursive relations