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International Journal Of Chemistry, Mathematics And Physics(IJCMP)

On New Root Finding Algorithms for Solving Nonlinear Transcendental Equations

Tekle Gemechu , Srinivasarao Thota


International Journal of Chemistry, Mathematics And Physics(IJCMP), Vol-4,Issue-2, March - April 2020, Pages 18-24 , 10.22161/ijcmp.4.2.1

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In this paper, we present new iterative algorithms to find a root of the given nonlinear transcendental equations. In the proposed algorithms, we use nonlinear Taylor’s polynomial interpolation and a modified error correction term with a fixed-point concept. We also investigated for possible extension of the higher order iterative algorithms in single variable to higher dimension. Several numerical examples are presented to illustrate the proposed algorithms.

In this paper, we present new iterative algorithms to find a root of the given nonlinear transcendental equations. In the proposed algorithms, we use nonlinear Taylor’s polynomial interpolation and a modified error correction term with a fixed-point concept. We also investigated for possible extension of the higher order iterative algorithms in single variable to higher dimension. Several numerical examples are presented to illustrate the proposed algorithms.

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