Article ID Journal Published Year Pages File Type
6421750 Applied Mathematics and Computation 2014 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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