An improved Heaviside approach to partial fraction expansion and its applications

Author: Man, Yiu-Kwong¹

Source: International Journal of Mathematical Education in Science and Technology, Volume 40, Number 6, January 2009 , pp. 808-814(7)

Publisher: Taylor and Francis Ltd

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Abstract:

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.

Keywords: improved Heaviside approach; partial fraction expansions; synthetic divisions

Document Type: Research article

DOI: 10.1080/00207390902825310

Affiliations: 1: Department of Mathematics, The Hong Kong Institute of Education, New Territories, Hong Kong

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