Department of Mathematics, School of Sciences, SR University, Warangal, Telangana, 506371, India.
Department of Mathematics, College of Natural & Computational sciences, Mizan Tepi University, Mizan Teferi, Ethiopia.
BMC Res Notes. 2022 Jul 30;15(1):267. doi: 10.1186/s13104-022-06154-5.
This paper proposes three iterative methods of order three, six and seven respectively for solving non-linear equations using the modified homotopy perturbation technique coupled with system of equations. This paper also discusses the analysis of convergence of the proposed iterative methods.
Several numerical examples are presented to illustrate and validation of the proposed methods. Implementation of the proposed methods in Maple is discussed with sample computations.
本文提出了三种分别为三阶、六阶和七阶的迭代方法，用于使用改进的同伦微扰技术结合方程组求解非线性方程。本文还讨论了所提出的迭代方法的收敛性分析。
给出了几个数值实例来说明和验证所提出的方法。讨论了 Maple 中所提出方法的实现，并给出了示例计算。
