In this note, we present an improved Heaviside approach to compute the partial fraction expansions of proper rational functions. This method uses synthetic divisions to 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, inverse Laplace transforms and linear ordinary differential equations are included. Copyright © 2009 Taylor & Francis Group, an informa business.
|Journal||International Journal of Mathematical Education in Science and Technology|
|Publication status||Published - 2009|
Ordinary differential equations
Inverse Laplace Transform
Linear Ordinary Differential Equations
System of Linear Equations
CitationMan, Y.-K. (2009). An improved Heaviside approach to partial fraction expansion and its applications. International Journal of Mathematical Education in Science and Technology, 40(6), 808-814.
- Improved Heaviside approach
- Partial fraction expansions
- Synthetic divisions