Structure a family of three-step with-memory methods for solving nonlinear equations and their dynamics

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
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.

Language:
English
Published:
Journal of Mathematical Analysis and Convex Optimization, Volume:2 Issue: 2, 2021
Pages:
119 to 137
https://www.magiran.com/p2381262  
سامانه نویسندگان
  • Corresponding Author (1)
    Vali Torkashvand
    Torkashvand، Vali
  • Author (2)
    Manochehr Kazemi
    Kazemi، Manochehr
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