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

• 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 23.08.2019; De Gruyter Poland
• Subjects: 34E10; 34E13; 35K20; 35K60; Chebyshev wavelet; homotopy perturbation; nonlinear oscillation; numerical solutions; operational matrix

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...