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Fractal-Based Methods and Inverse Problems for Differential Equations: Current State of the Art

Author

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  • Herb E. Kunze
  • Davide La Torre
  • Franklin Mendivil
  • Manuel Ruiz Galán
  • Rachad Zaki

Abstract

We illustrate, in this short survey, the current state of the art of fractal-based techniques and their application to the solution of inverse problems for ordinary and partial differential equations. We review several methods based on the Collage Theorem and its extensions. We also discuss two innovative applications: the first one is related to a vibrating string model while the second one considers a collage-based approach for solving inverse problems for partial differential equations on a perforated domain.

Suggested Citation

  • Herb E. Kunze & Davide La Torre & Franklin Mendivil & Manuel Ruiz Galán & Rachad Zaki, 2014. "Fractal-Based Methods and Inverse Problems for Differential Equations: Current State of the Art," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, November.
    • Handle: RePEc:hin:jnlmpe:737694
    DOI: 10.1155/2014/737694
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