New Fourth and Fifth-Order Iterative Methods for Solving Nonlinear Equations

• 作者: Muhammad Iqbal Muhammad Saqib Shahid Ali Tariq Ismaeel
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: ITERATIVE Methods HOMOTOPY Perturbation Technique Order of Convergence Nonlinear Equations
• 年，卷（期）: 2015,（8）
• 页码范围: 1220-1227
• 页数: 8页
• 分类号: O1

摘要

In this paper, we establish two new iterative methods of order four and five by using modified homotopy perturbation technique. We also present the convergence analysis of these iterative methods. To assess the validity and performance of these iterative methods, we have applied to solve some nonlinear problems.