Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems

In this paper, an accurate and efficient Chebyshev wavelet-based technique is successfully employed to solve the nonlinear oscillation problems. Numerical examples are also provided to illustrate the efficiency and performance of these methods. Homotopy perturbation methods may be viewed as an exten...

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Bibliographic Details
Published in:Applied mathematics and nonlinear sciences Vol. 4; no. 2; pp. 351 - 364
Main Authors: Selvi, M. Salai Mathi, Rajendran, L.
Format: Journal Article
Language:English
Published: Beirut Sciendo 01.07.2019
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subjects:
34E10
34E13
35K20
35K60
Chebyshev wavelet
homotopy perturbation
nonlinear oscillation
numerical solutions
operational matrix
ISSN:2444-8656, 2444-8656
Online Access:Get full text
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Summary:In this paper, an accurate and efficient Chebyshev wavelet-based technique is successfully employed to solve the nonlinear oscillation problems. Numerical examples are also provided to illustrate the efficiency and performance of these methods. Homotopy perturbation methods may be viewed as an extension and generalization of the existing methods for solving nonlinear equations. In addition, the use of Chebyshev wavelet is found to be simple, flexible, accurate, efficient and less computational cost. Our analytical results are compared with simulation results and found to be satisfactory.
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ISSN:2444-8656
2444-8656
DOI:10.2478/AMNS.2019.2.00030