Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman

Abd Rahman, Nor Hanim (2017) Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman. In: The Doctoral Research Abstracts. IGS Biannual Publication, 12 (12). Institute of Graduate Studies, UiTM, Shah Alam.

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Abstract

Nonlinear problem is one of the most frequently occurring problems in scientific works especially in science and engineering applications. Amongst the most popular schemes are the Newton’s method and homotopy perturbation method. However, the duration to converge are heavily depends on how close the guess value is to the real root/s and the rate of convergence for Newton’s method is only order-2 and its efficiency index is only ≈ 1.41421. Secondly, some of the methods utilized successive approximation procedure to ensure every step of computing will converge to the desired root and one of the most common problems is the improper initial values for the iterative methods. Thus, this particular research aims to develop an improved numerical solution for solving nonlinear equations by using hybrid concept and higher order correctional terms. Higher order successive approximations are applied and evaluated to ensure it converges to the desired root/s more effectively..

Item Type: Book Section
Creators:
CreatorsEmail
Abd Rahman, Nor HanimUNSPECIFIED
Subjects: Q Science > QA Mathematics > Analysis
Divisions: Institut Pengajian Siswazah (IPSis) : Institute of Graduate Studies (IGS)
Series Name: IGS Biannual Publication
Volume: 12
Number: 12
Item ID: 18966
Uncontrolled Keywords: Abstract; Abstract of thesis; Newsletter; Research information; Doctoral graduates; IPSis; IGS; UiTM; Nonlinear algebraic equations
Last Modified: 07 Jun 2018 01:52
Depositing User: Admin Pendigitan 2 PTAR
URI: http://ir.uitm.edu.my/id/eprint/18966

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