Novel Computational Iterative Methods with Optimal Order for Nonlinear Equations | Zendy

Fazlollah Soleymani | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Novel Computational Iterative Methods with Optimal Order for Nonlinear Equations

Author(s) -

Fazlollah Soleymani

Publication year - 2011

Publication title -

advances in numerical analysis

Language(s) - English

Resource type - Journals

eISSN - 1687-9570

pISSN - 1687-9562

DOI - 10.1155/2011/270903

Subject(s) - class (philosophy) , nonlinear system , convergence (economics) , mathematics , function (biology) , iterative method , order (exchange) , point (geometry) , local convergence , computer science , mathematical optimization , geometry , physics , finance , quantum mechanics , artificial intelligence , evolutionary biology , economics , biology , economic growth

This paper contributes a very general class of two-point iterative methods without memory for solving nonlinear equations. The class of methods is developed using weight function approach. Per iteration, each method of the class includes two evaluations of the function and one of its first-order derivative. The analytical study of the main theorem is presented in detail to show the fourth order of convergence. Furthermore, it is discussed that many of the existing fourth-order methods without memory are members from this developed class. Finally, numerical examples are taken into account to manifest the accuracy of the derived methods

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research