A pseudospectral method for nonlinear Duffing equation involving both integral and non‐integral forcing terms

Abbas Saadatmandi; Fateme Mashhadi‐Fini

doi:10.1002/mma.3142

journal article Apr 10, 2014

A pseudospectral method for nonlinear Duffing equation involving both integral and non‐integral forcing terms

Abbas Saadatmandi Fateme Mashhadi‐Fini

Mathematical Methods in the Applied Sciences Vol. 38 No. 7 pp. 1265-1272 · Wiley

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Abstract

AbstractThe Legendre pseudospectral method is developed for the numerical solution of nonlinear Duffing equation involving both integral and non‐integral forcing terms. By using differentiation matrix, the problem is reduced to the solution of a system of algebraic equations. The method is general, easy to implement, and yields very accurate results. Numerical experiments are presented to demonstrate the accuracy and the efficiency of the proposed computational procedure. Copyright © 2014 John Wiley & Sons, Ltd.

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References

26

[1]

10.1007/978-1-4612-1140-2

[2]

Mickens RE (1981)

[3]

Feng Z "A qualitative study of the damped Duffing equation and applications" Discrete and Continuous Dynamical Systems B (2006) 10.3934/dcdsb.2006.6.1097

[4]

10.1006/jmaa.1997.5793

[5]

10.1090/s0002-9939-1982-0663864-1

[6]

10.1006/jdeq.2002.4166

[7]

10.1006/jmaa.2001.7474

[8]

Ahmad B "Extended versions of quasilinearization for the forced Duffing equation" Communications on Applied Nonlinear Analysis (2007)

[9]

10.1016/j.cpc.2008.04.008

[10]

10.1016/j.nonrwa.2009.10.014

[11]

10.1016/j.nonrwa.2007.05.005

[12]

10.1016/j.nonrwa.2007.09.004

[13]

10.1016/j.camwa.2010.07.053

[14]

10.1016/j.cpc.2009.03.014

[15]

10.1137/1.9780898719598

[16]

10.1007/978-3-540-30726-6

[17]

10.1002/num.20174

[18]

10.1002/num.20150

[19]

10.1002/num.20608

[20]

Saadatmandi A "A collocation method for solving Abel's integral equations of first and second kinds" Zeitschrift für Naturforschung (2008) 10.1515/zna-2008-1202

[21]

10.1002/cnm.1045

[22]

10.1177/1077546310395977

[23]

Saadatmandi A "Chebyshev finite difference method for a two‐point boundary value problems with applications to chemical reactor theory" Iranian Journal of Mathematical Chemistry (2012)

[24]

10.1002/num.20295

[25]

10.1016/j.cnsns.2010.06.013

[26]

10.1006/jmaa.1996.0162

Metrics

8

Citations

26

References

Details

Published: Apr 10, 2014
Vol/Issue: 38(7)
Pages: 1265-1272
License: View

Authors

A

Abbas Saadatmandi

Department of Applied Mathematics, Faculty of Mathematical Sciences University of Kashan Kashan 87317‐51167 Iran

F

Fateme Mashhadi‐Fini

Department of Applied Mathematics, Faculty of Mathematical Sciences University of Kashan Kashan 87317‐51167 Iran

Funding

University of Kashan Award: 159026

Cite This Article

Abbas Saadatmandi, Fateme Mashhadi‐Fini (2014). A pseudospectral method for nonlinear Duffing equation involving both integral and non‐integral forcing terms. Mathematical Methods in the Applied Sciences, 38(7), 1265-1272. https://doi.org/10.1002/mma.3142

A pseudospectral method for nonlinear Duffing equation involving both integral and non‐integral forcing terms

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