Document Type
Article
Publication Date
1-1-2015
Abstract
This paper presents an efficient iterative method originated from the family of Chebyshev's operations for the solution of nonlinear problems. For this aim, the product operation matrix of integration is presented, and therefore the operation of derivative is developed by using Chebyshev wavelet functions of the first and second kind, initially. Later, Chebyshev's iterative method is improved by approximation of the first and second derivatives. The analysis of convergence demonstrates that the method is at least fourth-order convergent. The effectiveness of the proposed scheme is numerically and practically evaluated. It is concluded that it requires the less number of iterations and lies on the best performance of the proposed method, especially for highly varying nonlinear problems.
Keywords
Newtons method, wavelet, equations
Divisions
fac_eng
Publication Title
Mathematical Problems in Engineering
Publisher
Mathematical Problems in Engineering
Additional Information
Cf3da Times Cited:0 Cited References Count:18