An optimal fourth-order second derivative free iterative method for nonlinear scientific equations

Kuwait Journal of Science

article

Ghulam Akbar Nadeem¹  Waqas Aslam²  Faisal Ali¹ 

[1] Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University;Government College for Elementary Teachers

关键词: Approximation scheme;    iterative methods;    nonlinear equations;    order of convergence;    polynomiography;   

DOI  :  10.48129/kjs.18253

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

In the present paper, we develop an efficient second derivative free two-step optimal fourth-order iterative method for nonlinear equations. We explore the convergence criteria of the proposed method and also exhibit its validity and efficiency by considering some test problems. We present both numerical as well as graphical comparisons. Further, the dynamical behavior of the proposed method is explored.

【 授权许可】

Unknown