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Haar wavelet direct method for solving variational problems

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  • Hsiao, Chun-Hui

Abstract

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.

Suggested Citation

  • Hsiao, Chun-Hui, 2004. "Haar wavelet direct method for solving variational problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(5), pages 569-585.
    • Handle: RePEc:eee:matcom:v:64:y:2004:i:5:p:569-585
    DOI: 10.1016/j.matcom.2003.11.012
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    References listed on IDEAS

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    1. C. H. Hsiao & W. J. Wang, 1999. "Optimal Control of Linear Time-Varying Systems via Haar Wavelets," Journal of Optimization Theory and Applications, Springer, vol. 103(3), pages 641-655, December.
    2. C. H. Hsiao & W. J. Wang, 1999. "State Analysis and Optimal Control of Time-Varying Discrete Systems via Haar Wavelets," Journal of Optimization Theory and Applications, Springer, vol. 103(3), pages 623-640, December.
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    Cited by:

    1. Mart Ratas & Jüri Majak & Andrus Salupere, 2021. "Solving Nonlinear Boundary Value Problems Using the Higher Order Haar Wavelet Method," Mathematics, MDPI, vol. 9(21), pages 1-12, November.

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