Convex Combinations based on Finite Difference Method of New Iteration Method for Solving Nonlinear Algebraic Equations

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Sumontha Tiengdee
Phaichayon Sirisathianwatthana

Abstract

In this paper, we proposed numerical method for solving nonlinear algebraic equations, f(x) = 0 by using finite difference with second order and third order of Taylor expansion. This method reduces the number of iterations and function calculations.

Article Details

How to Cite
Tiengdee, S., & Sirisathianwatthana, P. (2026). Convex Combinations based on Finite Difference Method of New Iteration Method for Solving Nonlinear Algebraic Equations. The Golden Teak : Science and Technology Journal (GTSJ.), 3(1), 73–78. retrieved from https://li02.tci-thaijo.org/index.php/gts/article/view/1736
Section
Research Article

References

He, J. H. (2003, February). A new iteration method for solving algebraic equations. Applied Mathematics and Computation, 135(1), 81-84.

Ide, N. A. D. (2008, February). A new hybrid iteration method for solving algebraic equations Applied Mathematics and Computation, 195(2), 772-774.