Conference paper

NEČASOVÁ 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. 1-4. ISSN 0094-243X. Available from: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026674709&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:1-4
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=2-s2.0-85026674709&doi=10.1063%2f1.4992649&partnerID=40&md5=b88ab101cdb7526960c61ac740a9c1e2
Journal:AIP Conference Proceedings - American Institute of Physics, No. 1863, US
ISSN:0094-243X
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 man 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 = {1--4},
   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 = {0094-243X},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=11229}
}

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