Abstract
An efficient collocation method is proposed for the numerical solution of second and fourth order two-point boundary value problems (B.V.P.) based on uniform Haar wavelet. We have converted higher order differential equations into a system of differential equations of lower order and then solve it by uniform Haar wavelet, which reduces the time and complexity of the system. The technique introduced here is easy to apply. The performance of the present method yield more accurate results on increasing the resolution level. To demonstrate the robustness and accuracy of the Haar wavelet collocation method, five problems have been solved and compared with the existing methods present in the literature [1, 2, 3, 4, 5, 6].
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