March 1, 2024VFAST Transactions on MathematicsOpen Access

Solution of nonlinear models in engineering using a new sixteenth order scheme and their basin of attraction

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The proposed method achieves an accuracy order of sixteen with only five functional evaluations, enhancing efficiency significantly.
The efficiency index of this new iterative algorithm is 1.741, reflecting its computational effectiveness compared to existing methods.
This analysis utilizes computer tools for implementing the four-step iterative optimal derivative-free method and evaluates dynamics across several examples and applications in engineering contexts.. 1.741 efficiency index indicates strong performance against typical nonlinear approaches, suggesting important advancements in computational mathematics.

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Implication

New iterative approach enhances accuracy and efficiency in solving nonlinear equations in engineering applications, indicating promising computational advancements.

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Jamali et al. (2024) studied this question.

synapsesocial.com/papers/68e76604b6db6435876db779 https://doi.org/10.21015/vtm.v12i1.1624

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Implication

New iterative approach enhances accuracy and efficiency in solving nonlinear equations in engineering applications, indicating promising computational advancements.

Solution of nonlinear models in engineering using a new sixteenth order scheme and their basin of attraction

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Implication

Cite This Study

Solution of nonlinear models in engineering using a new sixteenth order scheme and their basin of attraction

Key Points

Discussion

Implication

Cite This Study

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