Abstract:In this study, an effective iterative technique based on Green's function is proposed to solve a nonlinear fourth‐order boundary value problem (BVP) with nonlinear boundary conditions, which models an elastic beam. An iterative Green's function approach and a shooting method are integrated in the proposed method. The mathematical derivation is further supported by examining the convergence analysis of the proposed method. The iterative method rapidly generates a convergent series solution to the given problem.… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.