## Conference paper

Publication language: NEČASOVÁ Gabriela, KUNOVSKÝ Jiří and ŠÁTEK Václav. Numerical Solution of Wave Equation Using Higher Order Methods. In: 15th International Conference of Numerical Analysis and Applied Mathematics. Thessaloniki: American Institute of Physics, 2017, pp. 1-4. ISBN 978-0-7354-1690-1. Available from: https://aip.scitation.org/doi/10.1063/1.5043964 english Numerical Solution of Wave Equation Using Higher Order Methods Numerické řešení vlnové rovnice metodami vyšších řádů 1-4 15th International Conference of Numerical Analysis and Applied Mathematics 15th International Conference of Numerical Analysis and Applied Mathematics Thessaloniki, GR 2017 https://aip.scitation.org/doi/10.1063/1.5043964 978-0-7354-1690-1 10.1063/1.5043964 American Institute of Physics PDE, ODE, Method of Lines, MTSM, difference formulas 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. ```@INPROCEEDINGS{ author = {Gabriela Ne{\v{c}}asov{\'{a}} and Ji{\v{r}}{\'{i}} Kunovsk{\'{y}} and V{\'{a}}clav {\v{S}}{\'{a}}tek}, title = {Numerical Solution of Wave Equation Using Higher Order Methods}, pages = {1--4}, booktitle = {15th International Conference of Numerical Analysis and Applied Mathematics}, year = 2017, location = {Thessaloniki, GR}, publisher = {American Institute of Physics}, ISBN = {978-0-7354-1690-1}, doi = {10.1063/1.5043964}, language = {english}, url = {http://www.fit.vutbr.cz/research/view_pub.php?id=11417} }```