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.
|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|
|ISBN (Print)||9780735406759, 0735406758|
|Publication status||Published - 2009|
CitationMan, 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.
- Synthetic division
- Partial fraction decomposition
- Indefinite integration
- Laurent series
- Inverse Laplace transform
- Linear ordinary differential equations
- Linear recursive relations