Error Estimation of an Approximation in a Wavelet Collocation Method

Abstract

This article describes possibility to assess anapproximation in a wavelet collocation method. In a researchproject several different types of differential equations wereapproximated with this method. A lot of parameters must beadjusted in the discussed method here, like the number of basiselements, the resolution parameter j or the number ofcollocation points. In this article we define a criterion whichfollows from an error estimation of the approximation.

Keywords

• ODE
• sinc collocation
• Shannon wavelet
• wavelet collocation
• error estimation