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

Mohsen Razzaghi and Hamid-Reza Marzban

Mathematical Problems in Engineering, 2000, vol. 6, 1-13

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:587810

DOI: 10.1155/S1024123X00001265

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