Chebyshev Wavelet collocation method for solving a class of linear and nonlinear nonlocal boundary value problems

Authors : Ibrahim Çelik

Pages : 25-35

Doi:10.33401/fujma.421996

View : 15 | Download : 9

Publication Date : 2018-06-30

Article Type : Research

Abstract :This study proposes the Chebyshev Wavelet Colocation method for solving a class of rth-order Boundary-Value Problems (BVPs) with nonlocal boundary conditions. This method is an extension of the Chebyshev wavelet method to the linear and nonlinear BVPs with a class of nonlocal boundary conditions. In this study, the method is tested on second and fourth-order BVPs and approximate solutions are compared with the existing methods in the literature and analytical solutions. The proposed method has promising results in terms of the accuracy.
Keywords : Approximate solution, Boundary-value problems, Chebyshev Wavelet, Colocation method, Nonlocal boundary conditions