An improved Heaviside approach to partial fraction expansion and its applications

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3 Citations (Scopus)

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. Copyright © 2009 Taylor & Francis Group, an informa business.
Original languageEnglish
Pages (from-to)808-814
JournalInternational Journal of Mathematical Education in Science and Technology
Volume40
Issue number6
DOIs
Publication statusPublished - 2009

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Oliver Heaviside
Partial fractions
Inverse transforms
Rational functions
Laplace transforms
Linear equations
Ordinary differential equations
Inverse Laplace Transform
Linear Ordinary Differential Equations
System of Linear Equations
Rational function
Industry
Division
Group
Unknown
Coefficient
Business

Citation

Man, 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.

Keywords

  • Improved Heaviside approach
  • Partial fraction expansions
  • Synthetic divisions