A new perturbation technique in solution of nonlinear differential equations by using variable transformation

Elmas, NBoyaci, H2024-07-182024-07-180096-30031873-5649http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/2730A perturbation algorithm using a new variable transformation is introduced. This transformation enables control of the independent variable of the problem. The problems are solved with new transformation: Classical Duffing equation with cubic nonlinear term and a singular perturbation problem. Results of multiple scales, Lindstedt Poincare method, new method and numerical solutions are contrasted. (C) 2013 Elsevier Inc. All rights reserved.EnglishDUFFING EQUATIONSYSTEMSA new perturbation technique in solution of nonlinear differential equations by using variable transformationArticle