Approximate solution of the electrostatic nanocantilever model via optimal perturbation iteration method. Issue 6 (6th September 2021)

• Record Type: Journal Article
• Authors: Adel, Waleed; Deniz, Sinan
• Is Part Of: Computational and mathematical methods. Volume 3:Issue 6(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-09-06
• Subjects: convergence analysis -- nanoparticle -- optimal perturbation iteration method; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1189
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract: In this article, a new technique is used to solve the nonlinear boundary value problem of a cantilever‐type nanoelectromechanical system. The technique is called the optimal perturbation iteration method and it is used to solve the problem in the form of a nonlinear differential equation with negative power‐law nonlinearity. A convergence and error estimation of the proposed method is presented proving that the method is convergent. Results for the application of the proposed technique are demonstrated through two examples and the tables and figures prove that the method is efficient and straightforward.