Application of operator splitting to solve reaction-diffusion equations
Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated. The order of different splitting methods coupled with numerical methods of diff...
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University of Szeged
2012-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1082 |
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doaj-7d57ff48a662486db0606dac200f8aef2021-07-14T07:21:24ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752012-05-012012912010.14232/ejqtde.2012.3.91082Application of operator splitting to solve reaction-diffusion equationsT. Ladics0Szent István University, Budapest, HungaryApproximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated. The order of different splitting methods coupled with numerical methods of different order is calculated symbolically and on a test problem - the spatially discretized Fisher equation - numerically.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1082operator splittingorderreaction-diffusion equations |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
T. Ladics |
| spellingShingle |
T. Ladics Application of operator splitting to solve reaction-diffusion equations Electronic Journal of Qualitative Theory of Differential Equations operator splitting order reaction-diffusion equations |
| author_facet |
T. Ladics |
| author_sort |
T. Ladics |
| title |
Application of operator splitting to solve reaction-diffusion equations |
| title_short |
Application of operator splitting to solve reaction-diffusion equations |
| title_full |
Application of operator splitting to solve reaction-diffusion equations |
| title_fullStr |
Application of operator splitting to solve reaction-diffusion equations |
| title_full_unstemmed |
Application of operator splitting to solve reaction-diffusion equations |
| title_sort |
application of operator splitting to solve reaction-diffusion equations |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2012-05-01 |
| description |
Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated. The order of different splitting methods coupled with numerical methods of different order is calculated symbolically and on a test problem - the spatially discretized Fisher equation - numerically. |
| topic |
operator splitting order reaction-diffusion equations |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1082 |
| work_keys_str_mv |
AT tladics applicationofoperatorsplittingtosolvereactiondiffusionequations |
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1721303714017312768 |