Solution of differential equations via rationalized Haar functions

Citation
M. Razzaghi et Y. Ordokhani, Solution of differential equations via rationalized Haar functions, MATH COMP S, 56(3), 2001, pp. 235-246
Citations number
16
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN journal
03784754 → ACNP
Volume
56
Issue
3
Year of publication
2001
Pages
235 - 246
Database
ISI
SICI code
0378-4754(20010604)56:3<235:SODEVR>2.0.ZU;2-F
Abstract
Rationalized Haar functions are developed to approximate the solution of th e differential equations. Properties of rationalized Haar functions are fir st presented, the operational matrix of integration together with product o perational matrix are utilized to reduce the computation of differential eq uations into algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.