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

Naila Rafiq | Zendy; Mudassir Shams | Zendy; Nazir Ahmad Mir | Zendy; Yaé Ulrich Gaba | Zendy

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

Author(s) -

Naila Rafiq,

Mudassir Shams,

Nazir Ahmad Mir,

Yaé Ulrich Gaba

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/9826693

Subject(s) - convergence (economics) , residual , polynomial , computer science , scheme (mathematics) , mathematics , iterative method , numerical analysis , mathematical optimization , degree of a polynomial , algorithm , mathematical analysis , economics , economic growth

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.

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