Generalized Iteration Method via Green's Function for the Solution of the Fourth-order Boundary Value Problems


  • Fatma Aydin Akgun Yildiz Technical University
  • Zaur Rasulov Yildiz Technical University



Boundary value problems, iteration method, Green's function, integral operator, rate of convergence


The aim of this paper is to extend and generalize Picard-Green’s fixed point iteration method for the solution of fourth-order Boundary Value Problems. Several numerical applications to linear and nonlinear fourth-order Boundary Value Problems are discussed to illustrate the main results.

Author Biography

  • Fatma Aydin Akgun, Yildiz Technical University

    F. Aydin Akgun received
    her Ph.D. in Istanbul, Turkiye
    from Yildiz Technical University
    in 2008. Her thesis was on
    boundary value problems. Several
    papers on boundary value
    problems were published from
    1999 - 2009. In 2010 she went
    to Indiana University, in America,
    to work with Professor Rhoades
    on summability and Hausdorff
    matrices. Several papers on summability have recently been
    published. She is Assoc. Prof. in Department of Mathematical Engineering in Yildiz Technical University.






Nonlinear Analysis

How to Cite

Generalized Iteration Method via Green’s Function for the Solution of the Fourth-order Boundary Value Problems. (2021). European Journal of Pure and Applied Mathematics, 14(3), 969-979.

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