A New Modification of The HPM for The Duffing Equation With High Nonlinearity
Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 0, Vol 2, Issue 2
Abstract
In this work we introduce a new modification of the homotopy perturbation method for solving nonlinear ordinary differential equations. The technique is based on the blending of the Chebyshev pseudo-spectral methods and the homotopy perturbation method (HPM). The method is tested by solving the strongly nonlinear Duffing equation for undamped oscillators. Comparison is made between the proposed technique, the standard HPM, an earlier modification of the HPM and the numerical solutions to demonstrate the high accuracy, applicability and validity of the present approach.
Authors and Affiliations
Ahmed Khdir
Keywords
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- EP ID EP653193
- DOI 10.24297/jap.v2i2.2099
- Views 65
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