Inverse problems for DEs and PDEs using the collage theorem: a survey. (1st January 2013)

• Record Type: Journal Article
• Authors: Kunze, Herb; La Torre, Davide; Mendivil, Franklin; Vrscay, Edward
• Is Part Of: International journal of applied nonlinear science. Volume 1:Number 1(2013)
• Page Start: 30
• Page End: 51
• Publication Date: 2013-01-01
• Subjects: inverse problems -- collage theorem -- initial value problems -- boundary value problems; Science -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; Nonlinear theories -- Periodicals; 501.5118
• Languages: English
• ISSNs: 1752-2862

Abstract

In this paper, we present several methods based on the collage theorem and its extensions for solving inverse problems for initial value and boundary value problems. Several numerical examples show the quality of this approach and its stability. At the end we present an application to the Euler-Bernoulli beam equation with boundary measurements.