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  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.