English Russian
Journal Title
Scientific journal of the
theoretical and applied
The News of Altai State University
Print ISSN 1561-9443
On-line ISSN 1561-9451
Issues list
Content of 1-1(77) 2013
Management, Computer Facilities and Computer Science
Mathematics and Mechanics
Mathematics and Mechanics

Previous | Next
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.

Full text at PDF, 646Kb. Language: russian.

Print Edition of "The News of Altai State University" copyright 1996-2012 Altai State University.
All rights reserved. Any of parts of a journal or edition as a whole cannot be reprinted without the written sanction of the authors or publisher. On purchase of a journal to address to ASU publishing house:
Altai State University. 656039, 66 Dimitrova street, Barnaul, Russia. Telephone + 7 (3852) 366351.