Open AccessGeneralized Iteration Method via Green's Function for the Solution of the Fourth-order Boundary Value Problems
Author(s) -
Fatma Aydın Akgün,
Zaur Rasulov
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i3.4020
Subject(s) - mathematics , boundary value problem , green's function , order (exchange) , value (mathematics) , mathematical analysis , nonlinear system , function (biology) , boundary values , statistics , physics , finance , quantum mechanics , evolutionary biology , economics , biology
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.