Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2000 / Article

Open Access

Volume 6 |Article ID 587810 | https://doi.org/10.1155/S1024123X00001265

Mohsen Razzaghi, Hamid-Reza Marzban, "Direct method for variational problems via hybrid of block-pulse and chebyshev functions", Mathematical Problems in Engineering, vol. 6, Article ID 587810, 13 pages, 2000. https://doi.org/10.1155/S1024123X00001265

Direct method for variational problems via hybrid of block-pulse and chebyshev functions

Received21 Jun 1999
Revised03 Nov 1999

Abstract

A direct method for finding the solution of variational problems using a hybrid function is discussed. The hybrid functions which consist of block-pulse functions plus Chebyshev polynomials are introduced. An operational matrix of integration and the integration of the cross product of two hybrid function vectors are presented and are utilized to reduce a variational problem to the solution of an algebraic equation. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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