Back to Search
Start Over
Modulating functions-based method for parameters and source estimation in one-dimensional partial differential equations.
- Source :
-
Inverse Problems in Science & Engineering . Aug2017, Vol. 25 Issue 8, p1191-1215. 25p. - Publication Year :
- 2017
-
Abstract
- In this paper, modulating functions-based method is proposed for estimating space–time-dependent unknowns in one-dimensional partial differential equations. The proposed method simplifies the problem into a system of algebraic equations linear in unknown parameters. The well-posedness of the modulating functions-based solution is proved. The wave and the fifth-order KdV equations are used as examples to show the effectiveness of the proposed method in both noise-free and noisy cases. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17415977
- Volume :
- 25
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Inverse Problems in Science & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 122983266
- Full Text :
- https://doi.org/10.1080/17415977.2016.1240793