Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations

• Main Authors: Fudziah Ismail,, Raed Ali Al-Khasawneh,, Mohamed Suleiman,, Malik Abu Hassan,
• Format: Article
• Language: English
• Published: Universiti Kebangsaan Malaysia 2010
• Online Access: http://journalarticle.ukm.my/7452/1/26_Ayiesah.pdf; http://journalarticle.ukm.my/7452/; http://www.ukm.my/jsm/english_journals/vol39num6_2010/contentsVol39num6_2010.html

Improvements over embedded diagonally implicit Runge-Kutta pair of order four in five are presented. Method of higher stage order with a zero first row and the last row of the coefficient matrix is identical to the vector output is given. The stability aspect of it is also looked into and a standard...