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 The News of Altai State University
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1-1(77)2013
Mathematics and Mechanics

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D. A. Tursunov

The Solving of the Differential Equations of the Fourth Order by Using Hermite Multiwavelets of Seventh Degree

In this paper, we use the wavelet bases of Hermite splines of seventh degree [7] for numerical solving the differential equations of forth order. Wavelets are constructed on the basis of Hermite splines of seventh degree. This wavelets are in C3 and supported on [ - 1, 1], moreover, two wavelets are symmetric, and the other are anti-symmetric. The computational results demonstrate the advantage of the wavelet basis.
Key words: wavelet, multiwavelet, Hermite spline of seventh degree, differential equation, numerical solution, boundary problem, Riesz basis.

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