Dr. Ogbereyivwe, Oghovese

@dsust.edu.ng

Senior Lecturer, Department of Mathematics, Faculty of Sciences
Delta State University of Science and Technology, Ozoro.

Dr. Ogbereyivwe, Oghovese


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https://researchid.co/oogbereyivwe

EDUCATION

Ph.D - Numerical Analysis

RESEARCH INTERESTS

Numerical Analysis: Computational Techniques, Iterative Theorist.
5

Scopus Publications

Scopus Publications

  • Jarratt and Jarratt-variant families of iterative schemes for scalar and system of nonlinear equations
    O. Ogbereyivwe, E. J. Atajeromavwo, S. S. Umar
    Iranian Journal of Numerical Analysis and Optimization, 2024
    This manuscript puts forward two new generalized families of Jarratt’s iterative schemes for deciding the solution of scalar and systems of non-linear equations. The schemes involve weight functions that are based on bi-variate rational approximation polynomial of degree two in both its numerator and denominator. The convergence study conducted on the schemes, indicated that they have convergence order (CO) four in scalar space and retain the same number of CO in vector space. The numerical experiments conducted on the schemes when used to decide the solutions of some real-life nonlinear models show that they are good challengers of some well-known and robust existing iterative schemes.
  • Eight and ninth-order convergence iterative structures for obtaining nonlinear equations solution
    O. Ogbereyivwe, S. A. Ogumeyo, E. J. Atajeromavwo
    Journal of Interdisciplinary Mathematics, 2024
    An eighth and ninth-order fast convergence iterative structures for determining the solution of nonlinear equations is put forward in this manuscript. The iterative structures are modification of a three-step variants of the Newton method via the use of the divided deference and weight functions. The computational iterative structures possess the advantages that they, do not require evaluation of higher derivative and converge faster than compared iterative structures with same convergence order. The convergence analysis of the iterative structures was established via the method of Taylor series. The computational results obtained with the developed iterative structures are juxtaposed with those obtained from some contemporary existing methods, and they performed better in terms of fast convergence.
  • A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution
    O. Ogbereyivwe, O. Izevbizua
    Iranian Journal of Numerical Analysis and Optimization, 2023
    In this manuscript, for approximation of solutions to equations that are nonlinear, a new class of two-point iterative structure that is based on a weight function involving two converging power series, is developed. For any method constructed from the developed class of methods, it requires three separate functions evaluation in a complete iteration cycle that is of order four convergence. Also, some well-known existing methods are typical members of the new class of methods. The numerical test on some concrete methods derived from the class of methods indicates that they are effective and competitive when employed in solving a nonlinear equation.
  • An optimal family of methods for obtaining the zero of nonlinear equation
    Oghovese Ogbereyivwe, John Emunefe
    Mathematics and Computational Sciences, 2022
    This manuscript presents a developed fourth-order iterative familyof methods for determining the zero of nonlinear equations that isoptimal in line with Kung-Traub conjecture. The family of methodswas constructed by using weight function technique. One iterationcycle of any concrete member of the family of methods requires theevaluation of three functions. Consequently, the efficiency index of anyconcrete member of the family is 1.5873. The method convergenceanalysis was carried out via the Taylor series technique and numericalexamples are provided to illustrate its performance as compared withits contemporary existing methods for obtaining the zero of nonlinearequation.
  • Family of optimal two-step fourth order iterative method and its extension for solving nonlinear equations
    Oghovese Ogbereyivwe, Veronica Ojo-Orobosa
    Journal of Interdisciplinary Mathematics, 2021
    In this paper, the weight function technique is utilized to develop new family of two-step fourth order convergence iterative methods for approximating the solution of nonlinear equations. The methods require the evaluation of three distinct functions evaluation per iteration circle and as such, are optimal in agreement with the Kung-Traub’s conjecture. This developed family of methods is further extended to design another new family of four-step ninth order convergence with efficiency index EI = 1.5518. We carried out the convergence analysis of the two families of iterative methods. This analysis provided us with information about the flexibility of the weight function in the method used in constructing other new families of iterative methods. The methods are applied to solve some nonlinear equations and real life problems that are modeled into nonlinear equations. The results obtained from computation experience are compared with some of its existing contemporary methods.