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

Fatma Aydın Akgün, Zaur Rasulov

Abstract

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.

Keywords

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

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