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Razzaghi, M.; Ordokhani, Y.

An application of rationalized Haar functions for variational problems. (English) Zbl 1020.49026

Appl. Math. Comput. 122, No. 3, 353-364 (2001).
Summary: A direct method for solving variational problems using rationalized Haar functions is presented. An operational matrix of integration and the cross product of two rationalized Haar function vectors are utilized to reduce a variational problem to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Cited in 16 Documents

MSC:

49M25 Discrete approximations in optimal control
65T60 Numerical methods for wavelets

Keywords:

direct methods; orthogonal functions; variational problems; rationalized Haar functions; algebraic equations
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\textit{M. Razzaghi} and \textit{Y. Ordokhani}, Appl. Math. Comput. 122, No. 3, 353--364 (2001; Zbl 1020.49026)
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References:

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