Diagonally implicit Runge-Kutta fourth order four-stage method for linear ordinary differential equations with minimized error norm

• Main Authors: Che Jawias, Nur Izzati, Ismail, Fudziah, Suleiman, Mohamed, Jaafar, Azmi
• Format: Article
• Language: English
• Published: Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia 2009
• Online Access: http://psasir.upm.edu.my/id/eprint/14042/1/Diagonally%20implicit%20Runge-Kutta%20fourth%20order%20four-stage%20method%20for%20linear%20ordinary%20differential%20equations%20with%20minimized%20error%20norm.pdf; http://psasir.upm.edu.my/id/eprint/14042/; https://mjfas.utm.my/index.php/mjfas/article/view/289

We constructed a new fourth order four-stage diagonally implicit Runge-Kutta (DIRK) method which is specially designed for the integrations of linear ordinary differential equations (LODEs). The method is obtained based on the Butcher’s error equations. In the derivation, the error norm is minimized...