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