شماره ركورد كنفرانس :
3894
عنوان مقاله :
Effective order of Partitioned Runge-Kutta methods
پديدآورندگان :
Ahmad Junaid University of Engineering and Technology , Habib Yousaf COMSATS University Islamabad , Shafiq Saba National University of Sciences and Technology , Ur Rehman Shafiq University of Engineering and Technology
كليدواژه :
Effective order , Partitioned Runge , Kutta methods , Runge , Kutta methods
عنوان كنفرانس :
چهاردهمين سمينار ملي معادلات ديفرانسيل، سيستم هاي ديناميكي و كاربردها
چكيده فارسي :
We have constructed partitioned Runge-Kutta methods of effective order 4 with 3 stages. The most obvious feature of these methods is efficiency in terms of implementation cost. The numerical results verify that the asymptotic error behavior of the effective order 4 partitioned Runge-Kutta methods with 3 stages is similar to that of classical 4th order methods which necessarily require 4 stages. Hence effective order methods are more efficient than their classical order counterpart.
