Wavelet Method for Solving the Differential Equation of a Beam on Elastic Foundation

Author

Quan, Yuxi ; Chen, Qingjiang

Author_Institution

Sch. of Sci., Xi´´an Univ. of Arch. & Tech., Xi´´an, China

Volume

4

fYear

2009

Firstpage

507

Lastpage

510

Abstract

An operational matrix of integration based on the linear Legendre multi-wavelets is established, and the procedure for applying the matrix to solve differential equation of a beam on elastic foundation problem which satisfies two-point boundary conditions is formulated. The fundamental idea of the linear Legendre multi-wavelets method is to convert the differential equation into a matrix equation which involves a finite number of variables. The examples are given to demonstrate the fast and flexible of the method, in the mean time, it is found that the trouble of Daubechies wavelets for solving the differential equation which need to calculate the correlation coefficients is avoided.

Keywords

beams (structures); differential equations; foundations; matrix algebra; wavelet transforms; Daubechies wavelets; correlation coefficients; differential equation; elastic foundation; linear Legendre multiwavelets; matrix equation; operational matrix; two-point boundary conditions; wavelet method; Boundary conditions; Differential equations; Integral equations; Integrodifferential equations; Matrix converters; Numerical analysis; Polynomials; Power engineering and energy; Vectors; Wavelet analysis; Linear Legendre multi-wavelet; elastic foundation;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation, 2009. ICNC '09. Fifth International Conference on

Print_ISBN

978-0-7695-3736-8

Type

conf

DOI

10.1109/ICNC.2009.564

Filename

5363439