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Chebyshev Wavelet collocation method for solving generalized Burgers–Huxley equation
Author(s) -
Çelik İbrahim
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3487
Subject(s) - mathematics , burgers' equation , wavelet , chebyshev filter , chebyshev equation , collocation method , collocation (remote sensing) , mathematical analysis , chebyshev nodes , chebyshev polynomials , partial differential equation , differential equation , orthogonal polynomials , computer science , classical orthogonal polynomials , ordinary differential equation , artificial intelligence , machine learning
In this paper, new and efficient numerical method, called as Chebyshev wavelet collocation method, is proposed for the solutions of generalized Burgers–Huxley equation. This method is based on the approximation by the truncated Chebyshev wavelet series. By using the Chebyshev collocation points, algebraic equation system has been obtained and solved. Approximate solutions of the generalized Burgers–Huxley equation are compared with exact solutions. These calculations demonstrate that the accuracy of the Chebyshev wavelet collocation solutions is quite high even in the case of a small number of grid points. Copyright © 2015 John Wiley & Sons, Ltd.