Efficiency the concept effective order & combination of Runge-Kutta Methods
عنوان مقاله: Efficiency the concept effective order & combination of Runge-Kutta Methods
شناسه ملی مقاله: JR_MSJI-16-1_008
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_MSJI-16-1_008
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Razieh Ketabchi - Department of Mathematics, Mobarakeh Branch, Islamic Azad University,Isfahan,Iran
خلاصه مقاله:
Razieh Ketabchi - Department of Mathematics, Mobarakeh Branch, Islamic Azad University,Isfahan,Iran
In this paper, Runge-Kutta (RK) methods is introduced; The conditions of order p and its equations have been investigated by calculating Fréchet derivatives and displaying them graphically as rooted trees. The concept of effective order and combination of methods are introduced; The efficiency of the effective order method is explicitly compared to the RK method with the classical order in terms of computational speed and reduction of the number of ancient conditions.
کلمات کلیدی: order, Effective order, Runge-Kutta Methods, Combination of methods
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1599910/