AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS
عنوان مقاله: AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS
شناسه ملی مقاله: JR_IJMAC-2-1_004
منتشر شده در در سال 1391
شناسه ملی مقاله: JR_IJMAC-2-1_004
منتشر شده در در سال 1391
مشخصات نویسندگان مقاله:
M. Matinfar - Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics
M. Aminzadeh - Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics
خلاصه مقاله:
M. Matinfar - Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics
M. Aminzadeh - Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics
Modification of Newtons method with higher-order convergence is presented. The modification of Newtons method is based on Frontinis three-order method. The new method requires two-step per iteration. Analysis of convergence demonstrates that the order of convergence is ۶. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newtons method and other methods.
کلمات کلیدی: Nonline ar equation, ite rative metho d, Two- step, Con- vergence orde r, Effic iency index
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1590187/