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Chebyshev wavelets method for solving Troesch’s problem

Changqing Yang, Jianhua Hou, Yan Xiong


A numerical method for one-dimensional Troesch’s problem is presented in this work. The method is based on Chebyshev wavelets approximates. The operational matrix of derivative of Chebyshev wavelets is introduced. The matrix together with the collocation method are then utilized to transform the differential equation into a system of algebraic equations. Numerical examples are presented to verify the efficiency and accuracy of the proposed algorithm. The results reveal that the method is accurate and easy to implement.


Troesch’s problem, Chebyshev wavelets, boundary value problem, initial value problem, collocation method.

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