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NEČASOVÁ, G. KOCINA, F. VEIGEND, P. CHALOUPKA, J. ŠÁTEK, V. KUNOVSKÝ, J.
Original Title
Solving Wave Equation Using Finite Differences and Taylor Series
Type
conference paper
Language
English
Original Abstract
The paper deals with the numerical solution of partial differential equations (PDEs), especially wave equation. Two methods are used to obtain numerical solution of the wave equation. The Finite Difference Method (FDM) is used for transformation of wave equation to the system of ODEs, different types of difference formulas are used. The Modern Taylor Series Method (MTSM) allows to solve ODEs numerically, an important feature of this method is an automatic integration order setting, i.e. using as many Taylor series terms as the defined accuracy requires
Keywords
Wave equation, differential equations, Taylor series, finite dfferences scheme
Authors
NEČASOVÁ, G.; KOCINA, F.; VEIGEND, P.; CHALOUPKA, J.; ŠÁTEK, V.; KUNOVSKÝ, J.
Released
21. 7. 2017
Publisher
American Institute of Physics
Location
Rhodes
ISBN
0094-243X
Periodical
AIP conference proceedings
Number
1863
State
United States of America
Pages from
1
Pages to
4
Pages count
URL
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026674709&doi=10.1063%2f1.4992649&partnerID=40&md5=b88ab101cdb7526960c61ac740a9c1e2
BibTex
@inproceedings{BUT144389, author="Gabriela {Nečasová} and Filip {Kocina} and Petr {Veigend} and Jan {Chaloupka} and Václav {Šátek} and Jiří {Kunovský}", title="Solving Wave Equation Using Finite Differences and Taylor Series", booktitle="14th International Conference of Numerical Analysis and Applied Mathematics", year="2017", journal="AIP conference proceedings", number="1863", pages="1--4", publisher="American Institute of Physics", address="Rhodes", doi="10.1063/1.4992649", issn="0094-243X", url="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026674709&doi=10.1063%2f1.4992649&partnerID=40&md5=b88ab101cdb7526960c61ac740a9c1e2" }