مشروع البحث: E cient Continuous Runge-Kutta Methods for Asymptotically Correct Defect Control
تحميل...
المساهمين
الممولين
رقم التعريف
864
الباحث
حنان تجاني محمد درفون
الوصف
In this thesis, we discussed methods for solving BVODEs that involve defect control.
We reviewed some of the background literature for standard CMIRK schemes and Hermite-
Birkho interpolants. Then, numerical experiments were presented with plots of the absolute
scaled defect to observe the location of the maximum defect for each subinterval for standard
CMIRK schemes and Hermite-Birkho (H-B) interpolants on BVODEs. These results
showed that standard CMIRK schemes, for orders 4, 5 and 6, do not, in general, lead to defects
for which the location of the maximum defect on each subinterval and for each problem
is the same.
الكلمات الدالة
Continuous Runge-Kutta Methods