Journals Information
World Journal of Computer Application and Technology(CEASE PUBLICATION) Vol. 2(4), pp. 83 - 88
DOI: 10.13189/wjcat.2014.020401
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Solving Multiple Integrals 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
The multiple integral problem is closely related to probability theory and quantum field theory. This paper uses the mathematical software Maple for the auxiliary tool to study three types of multiple integrals. We can obtain the infinite series forms of these three types of multiple integrals by using differentiation with respect to a parameter, differentiation term by term, and integration term by term. In addition, we provide 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
Multiple Integrals, Infinite Series Forms, Differentiation with Respect to a Parameter, Differentiation Term by Term, Integration Term by Term, Maple
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Chii-Huei Yu , Bing-Huei Chen , "Solving Multiple Integrals Using Maple," World Journal of Computer Application and Technology(CEASE PUBLICATION), Vol. 2, No. 4, pp. 83 - 88, 2014. DOI: 10.13189/wjcat.2014.020401.
(b). APA Format:
Chii-Huei Yu , Bing-Huei Chen (2014). Solving Multiple Integrals Using Maple. World Journal of Computer Application and Technology(CEASE PUBLICATION), 2(4), 83 - 88. DOI: 10.13189/wjcat.2014.020401.