Title :
Accuracy Comparison for Three Four-Stage Implicit Runge-Kutta Methods
Author :
Yan Gang Feng ; Guo Bing
Author_Institution :
Sch. of Electron. Inf. Eng., Chengdu Univ., Chengdu, China
Abstract :
Because the implicit Runge-Kutta method is hard to use, in addition, there is the lack of precision analysis for the implicit Runge-Kutta methods, three classic four-stage implicit Runge-Kutta methods are used to compare their calculation accuracy and the sensitivity of calculation step, these results provided reference for the selection of four-stage implicit Runge-Kutta methods.
Keywords :
Runge-Kutta methods; calculation accuracy; calculation step sensitivity; precision analysis; three four-stage implicit Runge-Kutta methods; Accuracy; Algorithm design and analysis; Differential equations; Education; Equations; Mathematical model; Presses; calculation accuracy; implicit Runge-Kutta method; numerical solution;
Conference_Titel :
Computational Intelligence and Design (ISCID), 2014 Seventh International Symposium on
Print_ISBN :
978-1-4799-7004-9
DOI :
10.1109/ISCID.2014.15