Journals Information
Computational Research(CEASE PUBLICATION) Vol. 1(3), pp. 53 - 60
DOI: 10.13189/cr.2013.010301
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The Partial Differential Problem
Chii-Huei Yu 1,*, Bing-Huei Chen 2
1 Department of Management and Information, Nan Jeon University of Science and Technology, Taiwan
2 Department of Electrical Engineering, Nan Jeon University of Science and Technology, Taiwan
ABSTRACT
In calculus and engineering mathematics courses, the evaluation of the partial derivatives of multivariable functions is important. This paper takes the mathematical software Maple as the auxiliary tool to study the partial differential problem of two types of multivariable functions. We can obtain the infinite series forms of any order partial derivatives of these two 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 provide two 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 , "The Partial Differential Problem," Computational Research(CEASE PUBLICATION), Vol. 1, No. 3, pp. 53 - 60, 2013. DOI: 10.13189/cr.2013.010301.
(b). APA Format:
Chii-Huei Yu , Bing-Huei Chen (2013). The Partial Differential Problem. Computational Research(CEASE PUBLICATION), 1(3), 53 - 60. DOI: 10.13189/cr.2013.010301.