Maximization of the profit and reactant conversion considering partial pressures in an ammonia synthesis reactor using a derivative‐free method

2020 ◽  
Author(s):  
Kennedy Barros Matos ◽  
Esdras Penêdo de Carvalho ◽  
Mauro Antonio Silva Sá Ravagnani
Keyword(s):  
Ammonia Synthesis ◽  
Partial Pressures ◽  
Derivative Free ◽  
Derivative Free Method ◽  
Reactant Conversion

An efficient class of fourth-order derivative-free method for multiple-roots

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sunil Kumar ◽  
Deepak Kumar ◽  
Janak Raj Sharma ◽  
Ioannis K. Argyros
Keyword(s):  
Multiple Root ◽  
Second Step ◽  
Optimal Order ◽  
Multiple Roots ◽  
Nonlinear Functions ◽  
New Methods ◽  
Derivative Free ◽  
Derivative Free Methods ◽  
Derivative Free Method ◽  
Good Number

Abstract Many optimal order multiple root techniques, which use derivatives in the algorithm, have been proposed in literature. Many researchers tried to construct an optimal family of derivative-free methods for multiple roots, but they did not get success in this direction. With this as a motivation factor, here, we present a new optimal class of derivative-free methods for obtaining multiple roots of nonlinear functions. This procedure involves Traub–Steffensen iteration in the first step and Traub–Steffensen-like iteration in the second step. Efficacy is checked on a good number of relevant numerical problems that verifies the efficient convergent nature of the new methods. Moreover, we find that the new derivative-free methods are just as competent as the other existing robust methods that use derivatives.

Derivative-free method for singular systems

2019 ◽  
Author(s):  
Sandra Buhmiler ◽  
Sanja Rapajic ◽  
Milan Lukic ◽  
Slavica Medic ◽  
Natasa Durakovic ◽  
...  
Keyword(s):  
Singular Systems ◽  
Derivative Free ◽  
Derivative Free Method

scholarly journals Derivative-free method based on DFP updating formula for solving convex constrained nonlinear monotone equations and application

2021 ◽  
Vol 6 (8) ◽  
pp. 8792-8814
Author(s):  
Aliyu Muhammed Awwal ◽  
◽  
Poom Kumam ◽  
Kanokwan Sitthithakerngkiet ◽  
Abubakar Muhammad Bakoji ◽  
...  
Keyword(s):  
Monotone Equations ◽  
Derivative Free ◽  
Derivative Free Method ◽  
Nonlinear Monotone Equations
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