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

Year 2018, Volume: 1 Issue: 1, 25 - 35, 30.06.2018

İbrahim Çelik

https://doi.org/10.33401/fujma.421996

Cited By: 2

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

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