A Highly Efficient Computer Method for Solving Polynomial Equations Appearing in Engineering Problems

Naila Rafiq, Mudassir Shams, Nazir Ahmad Mir and Yaé Ulrich Gaba

Mathematical Problems in Engineering, 2021, vol. 2021, 1-22

Abstract:

A highly efficient two-step simultaneous iterative computer method is established here for solving polynomial equations. A suitable special type of correction helps us to achieve a very high computational efficiency as compared to the existing methods so far in the literature. Analysis of simultaneous scheme proves that its convergence order is 14. Residual graphs are also provided to demonstrate the efficiency and performance of the newly constructed simultaneous computer method in comparison with the methods given in the literature. In the end, some engineering problems and some higher degree complex polynomials are solved numerically to validate its numerical performance.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9826693

DOI: 10.1155/2021/9826693

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