Science and Education Publishing
Journal of Automation and Control
2
1
2014
01
03
Solving the Partial Differential Problems Using Differentiation Term by Term Theorem
8
14
EN
Chii-Huei
Yu
Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan
AUTOMATION2014212
10.12691/automation-2-1-2
2013
11
28
2013
12
19
2014
01
03
This paper took advantage of the mathematical software Maple as the auxiliary tool to study the partial differential problems of four types of two-variables functions. We can obtain the infinite series forms of any order partial derivatives of these two-variables 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 proposed some examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying our answers by using Maple.