About this paper

Appears in:
Pages: 9375-9383
Publication year: 2017
ISBN: 978-84-617-8491-2
ISSN: 2340-1079
doi: 10.21125/inted.2017.2212

Conference name: 11th International Technology, Education and Development Conference
Dates: 6-8 March, 2017
Location: Valencia, Spain

NUMERICAL DIFFERENTIATION: A VIRTUAL LABORATORY

F. Giménez Palomares, J.A. Monsoriu Serrá, J.F. Giménez Luján

Universitat Politècnica de València (SPAIN)
The approximate calculation of the derivatives of a function is of great interest in many fields of engineering, for example in the case of functions for which it is not known its analytical expression or it is complicated, are tabulated or come from the result of an experiment. The classical methods for solving approximately differential equations and the finite difference method (applicable to both differential equations and partial differential equations) are based on the use of numerical differentiation formulas. The technique used to obtain the formulas is based on the Taylor series development of a function, so the derivatives of a function at a point are calculated from the valuesof the function at that point and other nearby points. Other techniques use polynomial interpolation and splines.

In this work we develop an application designed as a graphical user interface of Matlab, which allows to obtain the numerical values and to visualize the approximate derivatives and, in the case of knowing explicitly the function, the exact derivatives, the errors committed and the dependence of these with respect to the points used. The virtual laboratory has been designed for use in both computer rooms and personal computers, even if the Matlab package is not available, since an executable version has been generated. In any case, the student will be given a detailed guide with a description of the different parameters of the application and accompanied by illustrative examples.
@InProceedings{GIMENEZPALOMARES2017NUM,
author = {Gim{\'{e}}nez Palomares, F. and Monsoriu Serr{\'{a}}, J.A. and Gim{\'{e}}nez Luj{\'{a}}n, J.F.},
title = {NUMERICAL DIFFERENTIATION: A VIRTUAL LABORATORY},
series = {11th International Technology, Education and Development Conference},
booktitle = {INTED2017 Proceedings},
isbn = {978-84-617-8491-2},
issn = {2340-1079},
doi = {10.21125/inted.2017.2212},
url = {http://dx.doi.org/10.21125/inted.2017.2212},
publisher = {IATED},
location = {Valencia, Spain},
month = {6-8 March, 2017},
year = {2017},
pages = {9375-9383}}
TY - CONF
AU - F. Giménez Palomares AU - J.A. Monsoriu Serrá AU - J.F. Giménez Luján
TI - NUMERICAL DIFFERENTIATION: A VIRTUAL LABORATORY
SN - 978-84-617-8491-2/2340-1079
DO - 10.21125/inted.2017.2212
PY - 2017
Y1 - 6-8 March, 2017
CI - Valencia, Spain
JO - 11th International Technology, Education and Development Conference
JA - INTED2017 Proceedings
SP - 9375
EP - 9383
ER -
F. Giménez Palomares, J.A. Monsoriu Serrá, J.F. Giménez Luján (2017) NUMERICAL DIFFERENTIATION: A VIRTUAL LABORATORY, INTED2017 Proceedings, pp. 9375-9383.
User:
Pass: