Abstract
In this article, a numerical algorithm for solving both linear and nonlinear system of initial problems is proposed. Chebyshev wavelet finite difference (CWFD) method is indeed a hybrid of Chebyshev wavelets and finite difference methods. The exploitation of the useful properties of Chebyshev wavelets and finite difference method results in the reduction of the computation of the problem to a set of algebraic equations which can be more easily solved. Several examples of singular and nonsingular systems are included to illustrate the efficiency and accuracy of the proposed method.
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