Wavelets approach to time-varying functional differential equations
Chun‐Hui Hsiao · International Journal of Computer Mathematics · 2008
The analysis of time-varying functional differential equations via wavelets is proposed in this paper. At first, based upon some useful properties of wavelets, a special product matrix and a related coefficient matrix are applied to deal with the time-varying part. Then the wavelet stretch matrix is introduced to deal with the functional part. The unknown wavelet coefficient matrix will be found in the generalized Lyapunov equation. The local property of wavelets is completely applied to shorten the calculation process in the task.