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

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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