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
Inverse problems for DEs and PDEs using the collage theorem : a survey / H. Kunze, D. La Torre, F. Mendivil, E. Vrscay. - In: INTERNATIONAL JOURNAL OF APPLIED NONLINEAR SCIENCE. - ISSN 1752-2862. - 1:1(2013), pp. 30-51. [10.1504/IJANS.2013.052752]
Inverse problems for DEs and PDEs using the collage theorem : a survey
D. La TorreSecondo
;
2013
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
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