| Popis: |
An efficient numerical method is presented for solving the initial value problems of Bratu-type equations using Chebyshev wavelets. To the best of our knowledge, until now there is no rigorous Chebyshev wavelet solutions have been reported for the initial value problems of Bratu-type equations. The scheme is based on a novel operational matrix derived from integration of Chebyshev wavelets. Some examples are included to demonstrate the validity and applicability of the technique. The calculated results as compared with those calculated by other methods, illuminate the efficiency and precision of Chebyshev Wavelet Method (CWM) for this problem. The power of the manageable method is confirmed. The results show that the proposed way is quite reasonable when compared to exact solution and other classical methods. |
