Newton’s forward interpolation method for solving nonlinear algebraic equation

Nasr Al Din Ide

doi:10.59400/jam.v1i2.64

Newton’s forward interpolation method for solving nonlinear algebraic equation

Nasr Al Din Ide Department of Mathematics, Faculty of Science, Aleppo University, Aleppo 021, Syria

Article ID: 64

3589 Views, 1169 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i2.64

Keywords: Newton’s forward interpolation, nonlinear algebraic equations, interpolation

Abstract

As we know, the interpolation is one of the most basic and most useful numerical techniques in Mathematics. Newton’s forward interpolation method is one of most important of these methods. Its most important task in numerical analysis to find roots of nonlinear equations, several methods already exist to find roots. But in this paper, we introduce the interpolation technique for this purpose. The proposed method derived from the newton forward interpolation method and we compared the results with another existing method (Bisection Method (BM), Regula-Falsi Method (RFM), Secant Method (SM), Newton Raphson Method (NRM)) and the method proposed by J. Sanaullah (SJM). It’s observed that the proposed method has fast convergence but it has same order of convergence of the method (SJM). Maple software is used to solve problems by different methods.

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Published

2023-07-14

How to Cite

Ide, N. A. D. (2023). Newton’s forward interpolation method for solving nonlinear algebraic equation. Journal of AppliedMath, 1(2), 64. https://doi.org/10.59400/jam.v1i2.64

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