<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

Academy of Maritime Education and Training (AMET), Deemed to be University

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

In this paper, an accurate and efficient Chebyshev wavelet-based technique is successfully employed to solve the nonlinear oscillation problems. Numerical...

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

Published Online: Aug 23, 2019

Page range: 351 - 364

Received: Apr 03, 2019

Accepted: Jun 07, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00030

Keywords
Chebyshev wavelet, nonlinear oscillation, homotopy perturbation, operational matrix, numerical solutions

© 2019 Salai Mathi Selvi and L. Rajendran, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

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

Published Online: Aug 23, 2019

Page range: 351 - 364

Received: Apr 03, 2019

Accepted: Jun 07, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00030

KeywordsChebyshev wavelet, nonlinear oscillation, homotopy perturbation, operational matrix, numerical solutions

© 2019 Salai Mathi Selvi and L. Rajendran, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Keywords
Chebyshev wavelet, nonlinear oscillation, homotopy perturbation, operational matrix, numerical solutions