Numerical Solution of Wave Equation Using Higher Order Methods

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F18%3A10240459" target="_blank" >RIV/61989100:27740/18:10240459 - isvavai.cz</a>
Alternative codes found
RIV/00216305:26230/17:PU131254
Result on the web
<a href="https://aip.scitation.org/doi/10.1063/1.5043964" target="_blank" >https://aip.scitation.org/doi/10.1063/1.5043964</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5043964" target="_blank" >10.1063/1.5043964</a>

Result language
angličtina
Original language name
Numerical Solution of Wave Equation Using Higher Order Methods
Original language description
The paper deals with the numerical solution of partial differential equations (PDEs). The one-dimensional wave equation was chosen for experiments; it is solved using Method of Lines (MOL) which transforms the PDE into the system of ordinary differential equations (ODEs). The time domain remains continuous, and the Modern Taylor Series Method (MTSM) is used for solving the system of ODES. On the other hand, the space domain is discretized by higher order finite difference formulas. Higher order difference formulas can be unstable. The necessity of the variable precision arithmetic is discussed in this paper. The seven point difference formula is analysed as an example of higher order difference formulas.
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
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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