Solving wave equation using finite differences and Taylor series

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F17%3A10237445" target="_blank" >RIV/61989100:27740/17:10237445 - isvavai.cz</a>
Result on the web
<a href="http://aip.scitation.org/doi/pdf/10.1063/1.4992649" target="_blank" >http://aip.scitation.org/doi/pdf/10.1063/1.4992649</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4992649" target="_blank" >10.1063/1.4992649</a>

Result language
angličtina
Original language name
Solving wave equation using finite differences and Taylor series
Original language description
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 ordinary differential equations (ODEs), different types of difference formulas are used. The influence of arithmetic to higher order difference formulas is also presented. The Modern Taylor Series Method (MTSM) allows to solve ODEs numerically with extremely high precision. 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. © 2017 Author(s).
Czech name
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Czech description
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Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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