Haar wavelet direct method for solving variational problems

This paper establishes a clear procedure for the variational problem solution via Haar wavelet technique. The variational problems are solved by means of the direct method using the Haar wavelets and reduced to the solution of algebraic equations. The local property of Haar wavelets is fully applied to shorten the calculation process in the task. Three illustrative examples and a practical application to a heat conduction problem are included. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.