Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau IIA method

• Main Authors: Teh, Yuan Ying, Yaacob, Nazeeruddin
• Format: Conference or Workshop Item
• Language: English
• Published: 2013
• Subjects: QA Mathematics
• Online Access: http://repo.uum.edu.my/12695/1/Nu.pdf; http://repo.uum.edu.my/12695/; http://dx.doi.org/10.1063/1.4801121

In this paper, a new implicit Runge-Kutta method which based on a 4-point Gauss-Kronrod-Radau II quadrature formula is developed.The resulting implicit method is a 4-stage sixth order Gauss-Kronrod-Radau IIA method, or in brief as GKRM(4,6)-IIA. GKRM(4,6)-IIA requires four function of evaluations at...