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@inproceedings{42865, author = {Vysoká, Jana}, address = {Bratislava}, booktitle = {16th Conference on applied mathematics, Aplimat 2017, Proceedings}, editor = {Szarková, Letavaj, Richtáriková, Prašílová}, keywords = {Partial differential equation; method of characteristics; traffic density; flow function}, howpublished = {elektronická verze "online"}, language = {eng}, location = {Bratislava}, isbn = {978-80-227-4650-2}, pages = {1704-1714}, publisher = {Vydavateľstvo Spektrum STU Bratislava}, title = {EXAMPLE OF MATHEMATICAL MODELING IN HIGH SCHOOLS}, year = {2017} }
TY - JOUR ID - 42865 AU - Vysoká, Jana PY - 2017 TI - EXAMPLE OF MATHEMATICAL MODELING IN HIGH SCHOOLS PB - Vydavateľstvo Spektrum STU Bratislava CY - Bratislava SN - 9788022746502 KW - Partial differential equation KW - method of characteristics KW - traffic density KW - flow function N2 - The aim of this paper is to suggest an expansion of preparation of learning materials designed for university students who have chosen advanced mathematics as an elective, or for high school students who are engaged in mathematics beyond compulsory curriculum. Students will work with a simple example of mathematical modeling in solving simple transport tasks. In this work, we will pay attention to the issue of traffic flow modeling from a macroscopic perspective. First, we derive a mathematical model in the form of partial differential equations and then we will focus on solving this equation using the method of characteristics. Interpretation is presented in a way that should be easily grasped by students. ER -
VYSOKÁ, Jana. EXAMPLE OF MATHEMATICAL MODELING IN HIGH SCHOOLS. In Szarková, Letavaj, Richtáriková, Prašílová. \textit{16th Conference on applied mathematics, Aplimat 2017, Proceedings}. Bratislava: Vydavateľstvo Spektrum STU Bratislava. s.~1704-1714. ISBN~978-80-227-4650-2. 2017.
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