The numerical solution of singular initial value problems using Chebyshev wavelet collocation method

Wavelet analysis is a recently developed mathematical tool for many problems. In this paper, an efficient and new numerical method is proposed for the numerical solution of singular initial value problems, which is based on collocation points with Chebyshev wavelet. The present method is developed using the Chebyshev wavelet and its operational matrices to obtain higher accuracy. It has been shown here that the present method can be easily implemented and the results obtained are most accurate. Hence the present method has a clear advantage over the classical methods. Numerical order of convergence of the proposed method is calculated. The results show the better accuracy of the proposed method, which is justified through the illustrative examples. Keywords: Wavelets, Chebyshev wavelet collocation method, Operational matrices, Singular initial value problems, Convergence rat