Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators

Md. Nazmul Sharif; M. S. Alam; İ. A. Yeasmin

doi:10.32323/ujma.597667

EN

Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators

Abstract

The modified Lindstedt-Poincare method has been extended to obtain a faster convergent solution of nonlinear oscillators. First of all a classical type Lindstedt-Poincare solution has been determined and then a conversion formula has been used to find the desired solution. The solution has been compared and justified by corresponding numerical solution.

Keywords

Nonlinear oscillation,Perturbation method,Modified Lindstedt-Poincare method

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Md. Nazmul Sharif ^*
0000-0003-4234-6651
Bangladesh

M. S. Alam This is me
0000-0002-6325-6797
Bangladesh

İ. A. Yeasmin This is me
0000-0002-0392-8547
Bangladesh

Publication Date

June 22, 2020

Submission Date

July 28, 2019

Acceptance Date

March 25, 2020

Published in Issue

Year 2020 Volume: 3 Number: 2

DOI

https://doi.org/10.32323/ujma.597667

IZ

https://izlik.org/JA97UG54PB

APA

Sharif, M. N., Alam, M. S., & Yeasmin, İ. A. (2020). Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators. Universal Journal of Mathematics and Applications, 3(2), 53-60. https://doi.org/10.32323/ujma.597667

AMA

1.Sharif MN, Alam MS, Yeasmin İA. Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators. Univ. J. Math. Appl. 2020;3(2):53-60. doi:10.32323/ujma.597667

Chicago

Sharif, Md. Nazmul, M. S. Alam, and İ. A. Yeasmin. 2020. “Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators”. Universal Journal of Mathematics and Applications 3 (2): 53-60. https://doi.org/10.32323/ujma.597667.

EndNote

Sharif MN, Alam MS, Yeasmin İA (June 1, 2020) Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators. Universal Journal of Mathematics and Applications 3 2 53–60.

IEEE

[1]M. N. Sharif, M. S. Alam, and İ. A. Yeasmin, “Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators”, Univ. J. Math. Appl., vol. 3, no. 2, pp. 53–60, June 2020, doi: 10.32323/ujma.597667.

ISNAD

Sharif, Md. Nazmul - Alam, M. S. - Yeasmin, İ. A. “Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators”. Universal Journal of Mathematics and Applications 3/2 (June 1, 2020): 53-60. https://doi.org/10.32323/ujma.597667.

JAMA

1.Sharif MN, Alam MS, Yeasmin İA. Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators. Univ. J. Math. Appl. 2020;3:53–60.

MLA

Sharif, Md. Nazmul, et al. “Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators”. Universal Journal of Mathematics and Applications, vol. 3, no. 2, June 2020, pp. 53-60, doi:10.32323/ujma.597667.

Vancouver

1.Md. Nazmul Sharif, M. S. Alam, İ. A. Yeasmin. Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators. Univ. J. Math. Appl. 2020 Jun. 1;3(2):53-60. doi:10.32323/ujma.597667