an efficient iterative scheme using family of chebyshev’s operations

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ID: 212637
2015
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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.
Reference Key
mahdavi2015mathematicalan Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Seyed Hossein Mahdavi;Hashim Abdul Razak
Journal journal of power sources
Year 2015
DOI
10.1155/2015/205295
URL
http://dx.doi.org/10.1155/2015/205295
Keywords
civil engineering (general)mathematics engineering (general)

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