Wavelet Method for Solving the Differential Equation of a Beam on Elastic Foundation
Yuxi Quan, Qingjiang Chen · 2009
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.