New Third- and Sixth-Order Derivative-Free Techniques for Nonlinear Equations

F. Soleymani, V. Hosseinabadi


Some local convergent derivative-free methods are suggested for solving nonlinear scalar equations. The error equations are given theoretically to show that the proposed techniques have third- and sixth-order convergence. Per cycle, the novel cubically schemes comprise three evaluations of the function while the sixth-order method includes four function evaluations. The theoretical results are supported by numerical tests to illustrate the accuracy of the contributed methods.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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