scholarly journals A New Third-Order Derivative Free method for Solving Nonlinear Equations

2013 ◽  
Vol 1 (2) ◽  
pp. 131-135
Author(s):  
J. P. Jaiswal
Keyword(s):  
Nonlinear Equations ◽  
Order Derivative ◽  
Third Order ◽  
Derivative Free ◽  
Derivative Free Method

scholarly journals A New Derivative-Free Method to Solve Nonlinear Equations

Mathematics ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 583
Author(s):  
Beny Neta
Keyword(s):  
Nonlinear Equation ◽  
Nonlinear Equations ◽  
High Order ◽  
Order Derivative ◽  
Eighth Order ◽  
High Order Derivative ◽  
Derivative Free ◽  
Derivative Free Method

A new high-order derivative-free method for the solution of a nonlinear equation is developed. The novelty is the use of Traub’s method as a first step. The order is proven and demonstrated. It is also shown that the method has much fewer divergent points and runs faster than an optimal eighth-order derivative-free method.

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