Using Maple to Study the Partial Differential Problems

Author:

Yu Chii Huei1

Affiliation:

1. Nan Jeon University of Science and Technology

Abstract

This paper uses the mathematical software Maple for 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 propose two examples of multivariable functions to evaluate their any order partial derivatives, and some of their higher order partial derivative values practically. At the same time, we employ Maple to calculate the approximations of these higher order partial derivative values and their infinite series forms for verifying our answers.

Publisher

Trans Tech Publications, Ltd.

Reference12 articles.

1. A. Griewank and A. Walther: Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, 2nd ed., SIAM (2008).

2. C. -H. Yu: Partial Derivatives of Some Types of Two-Variables Functions, Pure and Applied Mathematics Journal , Vol. 2, No. 2 (2013), pp.56-61.

3. C. -H. Yu: The Partial Differential Problem of Two Types of Multivariable Functions, Journal of National Taitung College, Vol. 2 (2013), pp.19-42.

4. C. -H. Yu: The Partial Differential Problem of Multivariable Hyperbolic Functions, Bulletin of Yung-Ta Institute of Technology and Commerce, Vol. 12 (2013), in press.

5. C. -H. Yu: Application of Maple: Taking the Partial Differential Problem of Some Type of Multivariable Functions as an Example, The Eighteenth Information Management and Practice Conference, National Taipei University of Technology, Taiwan (2012).

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1. Solving the Partial Differential Problems Using Maple;Journal of Applied Research and Technology;2014-12

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