Structure a family of three-step with-memory methods for solving nonlinear equations and their dynamics
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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JR_MACO-2-2_012
تاریخ نمایه سازی: 20 دی 1400
Abstract:
In this work, we will first propose an optimal three-step without-memory
method for solving nonlinear equations. Then, by introducing the self-accelerating
parameters, the with-memory-methods have been built. They have a fifty-nine
percentage improvement in the convergence order. The proposed methods have
not the problems of calculating the function derivative. We use these Steffensen-
type methods to solve nonlinear equations with simple zeroes with the appropri-
ate initial approximation of the root. we have solved a few nonlinear problems
to justify the theoretical study. Finally, are described the dynamics of the with-
memory method for complex polynomials of degree two.
Keywords:
Authors
Vali Torkashvand
Member of Young Researchers and Elite club Shahr-e-Qods Branch Islamic Azad University, Tehran, Iran
Manochehr Kazemi
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
Mandana Moccari
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran