MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING NON-LINEAR OSCILLATOR'S EQUATIONS

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VAHIDI A.R.; AZIMZADEH Z.; SHAHRESTANI M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2016 | Volume:8 | Issue:4 Page(s): 415-421

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Information Journal Paper

Title

MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING NON-LINEAR OSCILLATOR'S EQUATIONS

Author(s)

VAHIDI A.R. | AZIMZADEH Z. | SHAHRESTANI M. | Issue Writer Certificate

Keywords

HOMOTOPY PERTURBATION METHOD (HPM)Q2

DIFFERENTIAL EQUATIONSQ2

NON-LINEAR OSCILLATOR' S EQUATIONQ2

LAPLACE TRANSFORMATIONQ2

Abstract

In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy of the Solution equation is very important because the analysis component of the system like vibration amplitude control, synchronization dynamics are dependent to the exact solution of oscillation equation.

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APA: Copy

VAHIDI, A.R., AZIMZADEH, Z., & SHAHRESTANI, M.. (2016). MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING NON-LINEAR OSCILLATOR'S EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 8(4), 415-421. SID. https://sid.ir/paper/231749/en

Vancouver: Copy

VAHIDI A.R., AZIMZADEH Z., SHAHRESTANI M.. MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING NON-LINEAR OSCILLATOR'S EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2016;8(4):415-421. Available from: https://sid.ir/paper/231749/en

IEEE: Copy

A.R. VAHIDI, Z. AZIMZADEH, and M. SHAHRESTANI, “MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING NON-LINEAR OSCILLATOR'S EQUATIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 8, no. 4, pp. 415–421, 2016, [Online]. Available: https://sid.ir/paper/231749/en

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