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September 10, 2025European Journal of Pure and Applied MathematicsOpen Access

Derivative-Free Method for Nonlinear Systems with Some Real-Life Applications

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The proposed derivative-free method achieves effective root determination in nonlinear systems.
Convergence order of around 2.5 surpasses that of existing derivative-free approaches.
Employing Broyden's technique, the new method bypasses Jacobian issues in solving nonlinear equations.
Applications include the mixed Hammerstein integral equation and the discretized Poisson equation.

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Implication

This study demonstrates a derivative-free method for root determination in nonlinear equations, highlighting better convergence rates and practical applications.

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Al-Shorman et al. (2025) studied this question.

synapsesocial.com/papers/68c1a77a54b1d3bfb60e0b8a https://doi.org/10.29020/nybg.ejpam.v18i3.6262

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Implication

This study demonstrates a derivative-free method for root determination in nonlinear equations, highlighting better convergence rates and practical applications.

Derivative-Free Method for Nonlinear Systems with Some Real-Life Applications

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Discussion

Implication

Cite This Study

Derivative-Free Method for Nonlinear Systems with Some Real-Life Applications

Key Points

Discussion

Implication

Cite This Study

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