Universal Journal of Engineering Science(CEASE PUBLICATION) Vol. 2(1), pp. 6 - 15
DOI: 10.13189/ujes.2014.020102
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Studying the Partial Differential Problem Using Maple

Chii-Huei Yu ^1,*, Bing-Huei Chen ^2
1 Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, 73746, Taiwan
² Department of Electrical Engineering, Nan Jeon University of Science and Technology, Tainan City, 73746, Taiwan

ABSTRACT

This paper uses the mathematical software Maple for the auxiliary tool to study the partial differential problem of four types of multivariable functions. We can obtain the infinite series forms of any order partial derivatives of these four types of multivariable functions by using differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order partial derivative values. On the other hand, we propose some 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.

KEYWORDS
Partial Derivatives, Infinite Series Forms, Differentiation Term By Term Theorem, Maple

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Chii-Huei Yu , Bing-Huei Chen , "Studying the Partial Differential Problem Using Maple," Universal Journal of Engineering Science(CEASE PUBLICATION), Vol. 2, No. 1, pp. 6 - 15, 2014. DOI: 10.13189/ujes.2014.020102.

(b). APA Format:
Chii-Huei Yu , Bing-Huei Chen (2014). Studying the Partial Differential Problem Using Maple. Universal Journal of Engineering Science(CEASE PUBLICATION), 2(1), 6 - 15. DOI: 10.13189/ujes.2014.020102.