A New Modification of The HPM for The Duffing Equation With High Nonlinearity
Keyword(s):
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.
2014 ◽
Vol 2014
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pp. 1-7
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2007 ◽
Vol 188
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pp. 446-449
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2011 ◽
Vol 110-116
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pp. 2277-2283
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Application of He’s Homotopy Perturbation Method to Stiff Systems of Ordinary Differential Equations
2008 ◽
Vol 63
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pp. 19-23
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2019 ◽
Vol 12
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pp. 1950027
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pp. 103-114
2006 ◽
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pp. 493-500
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pp. 1-10
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