Conference paperNEČASOVÁ Gabriela, KOCINA Filip, VEIGEND Petr, CHALOUPKA Jan, ŠÁTEK Václav and KUNOVSKÝ Jiří. Solving Wave Equation Using Finite Differences and Taylor Series. In: 14th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2017, pp. 14. ISSN 0094243X. Available from: https://www.scopus.com/inward/record.uri?eid=2s2.085026674709&doi=10.1063%2f1.4992649&partnerID=40&md5=b88ab101cdb7526960c61ac740a9c1e2  Publication language:  english 

Original title:  Solving Wave Equation Using Finite Differences and Taylor Series 

Title (cs):  Řešení vlnové rovnice s využitím konečných diferencí a Taylorovy řady 

Pages:  14 

Proceedings:  14th International Conference of Numerical Analysis and Applied Mathematics 

Conference:  14rd International Conference of Numerical Analysis and Applied Mathematics 

Place:  Rhodes, GR 

Year:  2017 

URL:  https://www.scopus.com/inward/record.uri?eid=2s2.085026674709&doi=10.1063%2f1.4992649&partnerID=40&md5=b88ab101cdb7526960c61ac740a9c1e2 

Journal:  AIP Conference Proceedings  American Institute of Physics, No. 1863, US 

ISSN:  0094243X 

DOI:  10.1063/1.4992649 

Publisher:  American Institute of Physics 

Keywords 

Wave equation, differential equations, Taylor series, finite dfferences scheme

Annotation 

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 
BibTeX: 

@INPROCEEDINGS{
author = {Gabriela Ne{\v{c}}asov{\'{a}} and Filip Kocina and
Petr Veigend and Jan Chaloupka and V{\'{a}}clav
{\v{S}}{\'{a}}tek and Ji{\v{r}}{\'{i}}
Kunovsk{\'{y}}},
title = {Solving Wave Equation Using Finite Differences and
Taylor Series},
pages = {14},
booktitle = {14th International Conference of Numerical Analysis and
Applied Mathematics},
journal = {AIP Conference Proceedings  American Institute of Physics},
number = {1863},
year = {2017},
location = {Rhodes, GR},
publisher = {American Institute of Physics},
ISSN = {0094243X},
doi = {10.1063/1.4992649},
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php?id=11229}
} 
