

Trigonometrically Fitted TwoStep Obrechkoff Methods For the Numerical Solution of Periodic Initial Value Problems





نویسنده

Shokri Ali ,Shokri Abbas Ali ,Mostafavi Shabnam ,Saadat Hosein

منبع

Iranian Journal Of Mathematical Chemistry  2015  دوره : 6  شماره : 2  صفحه:145 161



چکیده

In this paper, we present a new twostep trigonometrically fitted symmetric obrechkoff method. the method is based on the symmetric twostep obrechkoff method, with eighth algebraic order, high phaselag order and is constructed to solve ivps with periodic solutions such as orbital problems. we compare the new method to some recently constructed optimized methods from the literature. the numerical results obtained by the new method for some problems show its superiority in efficiency, accuracy and stability.

کلیدواژه

Obrechkoff Methods ,TrigonometricallyFitting ,Initial Value Problems ,Symmetric Multistep Methods ,Oscillating Solution

آدرس

University Of Maragheh, Faculty Of Mathematical Science, ایران, Islamic Azad University, Ahar Branch, Department Of Mathematics, ایران, University Of Maragheh, Faculty Of Mathematical Science, ایران, University Of Maragheh, Faculty Of Mathematical Science, ایران














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