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Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae

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  • Mawardi Bahri
  • Ryuichi Ashino

Abstract

Several essential properties of the linear canonical transform (LCT) are provided. Some results related to the sampling theorem in the LCT domain are investigated. Generalized wave and heat equations on the real line are introduced, and their solutions are constructed using the sampling formulae. Some examples are presented to illustrate our results.

Suggested Citation

  • Mawardi Bahri & Ryuichi Ashino, 2020. "Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae," Abstract and Applied Analysis, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:1273194
    DOI: 10.1155/2020/1273194
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    References listed on IDEAS

    as
    1. Rui-Feng Bai & Bing-Zhao Li & Qi-Yuan Cheng, 2012. "Wigner-Ville Distribution Associated with the Linear Canonical Transform," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, July.
    2. Rui-Feng Bai & Bing-Zhao Li & Qi-Yuan Cheng, 2012. "Wigner‐Ville Distribution Associated with the Linear Canonical Transform," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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