Application of Maple on Solving the Differential Problem of Rational Functions

Chii Huei Yu

doi:10.4028/www.scientific.net/AMM.479-480.855

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 479-480Application of Maple on Solving the Differential...

Application of Maple on Solving the Differential Problem of Rational Functions

Abstract:

This paper uses the mathematical software Maple as the auxiliary tool to study the differential problem of four types of rational functions. We can obtain the closed forms of any order derivatives of these rational functions by using binomial theorem. On the other hand, we propose four examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions by using Maple. This type of research method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking from manual and Maple calculations. For this reason, Maple provides insights and guidance regarding problem-solving methods.

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Periodical:

Applied Mechanics and Materials (Volumes 479-480)

Pages:

855-860

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.479-480.855

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Online since:

December 2013

Authors:

Chii Huei Yu

Keywords:

Binomial Theorem, MAPLE, Rational Functions

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References

[1] F. Garvan: The Maple Book, Chapman & Hall/CRC (2001).

Google Scholar

[2] D. Richards: Advanced Mathematical Methods with Maple, Cambridge University Press (2002).

Google Scholar

[3] R.J. Stroeker and J.F. Kaashoek: Discovering Mathematics with Maple : An Interactive Exploration for Mathematicians, Engineers and Econometricians, Birkhauser Verlag (1999).

Google Scholar

[4] J.S. Robertson: Engineering Mathematics with Maple, McGraw-Hill (1996).

Google Scholar

[5] M.L. Abell and J.P. Braselton: Maple by Example, 3rd ed., Elsevier Academic Press (2005).

Google Scholar

[6] C. -H. Yu: The Differential Problem of Two Types of Rational Functions, Journal of Mei Ho University, Vol. 32, No. 1 (2013), in press.

Google Scholar

[7] C. -H. Yu: Application of Maple: Taking the Differential Problem of Rational Functions as an Example, 2012 Optoelectronics Communication Engineering Workshop, National Kaohsiung University of Applied Sciences, Taiwan (2012), pp.271-274.

Google Scholar

[8] C. -H. Yu: Application of Maple: Taking the Evaluation of Higher Order Derivative Values of Some Type of Rational Functions as an Example, 2012 Digital Life Technology Seminar, National Yunlin University of Science and Technology (2012).

Google Scholar

[9] R.A. Brualdi: Introductory Combinatorics, North-Holland (1977), p.54.

Google Scholar