Numerical Second Order Method of Numerical Techniques for Solving Nonlinear Equations

Qureshi, Umair Khalid; Pirzada, Aliya; Bozdar, Irfan Ali; Memon, M. Asif

doi:10.26692/surj/2019.12.115

Cited by 2 publications

(2 citation statements)

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“…Numerous equations exist for which analytical solutions are unattainable through any established methods. In these cases, obtaining approximate roots is achieved through various ap-sanaullah.jamali@usindh.edu.pk proaches, including graphical methods, iterative techniques, or a synergistic combination of both [1,9,12,17,19,21].…”

Section: Introductionmentioning

confidence: 99%

A three step seventh order iterative method for solution nonlinear equation using Lagrange interpolation technique

Jamali,

Lakho,

Kalhoro

et al. 2024

VFAST trans. math.

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This research paper comprehensively presents the derivation of a seventh-order iteration scheme designed to obtain simple roots of nonlinear equations through the utilization of Lagrange interpolation technique. The scheme is characterized by the requirement for three function evaluations and one evaluation of the first derivative in each iteration. A detailed convergence analysis is also carried out to assess the efficacy of the proposed method. Additionally, the paper includes comprehensive numerical experiments aimed at confirming the theoretical results and illustrating the competitive performance of the derived iteration scheme.

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Section: Introductionmentioning

confidence: 99%

A three step seventh order iterative method for solution nonlinear equation using Lagrange interpolation technique

Jamali,

Lakho,

Kalhoro

et al. 2024

VFAST trans. math.

View full text Add to dashboard Cite

show abstract

“…Therefore, several iterated methods have been developed for estimating a single root of nonlinear equations by using numerical methods for differential equations [8][9][10][11][12]. Furthermore, this research is main focus to solve the single root of nonlinear equation, so, there are some basic methods for solving single root of nonlinear equation i.e.…”

Section: Introductionmentioning

confidence: 99%

Cubic Iterated Methods of Numerical Differential Method for Solving Non-Linear Physical Functions

Khalid Qureshi,

Aarain,

Khokhar

et al. 2023

VFAST trans. math.

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In this research two iterated methods have been developed for solving non-linear equations, which arises in applied sciences and engineering. The proposed iterated methods are converged cubically, and it is derived from modified euler method and improved euler method with steffensen method. The cubic iterated methods of numerical differential method are work on physical application functions and compared with variant newton iterated method. The numerical outcome of proposed cubic iterated methods of numerical differential method is examined with C++/MATLAB. From the numerical results, it can be observed that the cubic iterated methods of numerical differential method are good for accuracy point of view, iteration perception and function evaluation as the assessment of variant newton iterated method for solving non-linear physical functions.

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Numerical Second Order Method of Numerical Techniques for Solving Nonlinear Equations

Cited by 2 publications

References 0 publications

A three step seventh order iterative method for solution nonlinear equation using Lagrange interpolation technique

A three step seventh order iterative method for solution nonlinear equation using Lagrange interpolation technique

Cubic Iterated Methods of Numerical Differential Method for Solving Non-Linear Physical Functions

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