Fractal-Based Methods and Inverse Problems for Differential Equations: Current State of the Art. (20th November 2014)

• Record Type: Journal Article
• Authors: Kunze, Herb E.; La Torre, Davide; Mendivil, Franklin; Ruiz Galán, Manuel; Zaki, Rachad
• Other Names: Ibeas Asier Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-11-20
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/737694
• Languages: English
• ISSNs: 1024-123X

Abstract

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.