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

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. Resul...

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Veröffentlicht in:	Applied mathematics and computation 2014-01, Vol.227, p.422-427
Hauptverfasser:	Elmas, N., Boyaci, H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Differential equations Duffing equation Lindstedt Poincare method Mathematical models Multiple scales method New variable transformation Nonlinearity Numerical solutions Perturbation methods Singular perturbation Transformations
Online-Zugang:	Volltext
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