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Uniqueness Conditions and Numerical Approximation of the Solution to M. M. Lavrentiev's Integral Equation.
- Source :
- Numerical Analysis & Applications; Dec2022, Vol. 15 Issue 4, p364-378, 15p
- Publication Year :
- 2022
-
Abstract
- M.M. Lavrentiev's linear integral equation arises as a result of a special transformation of a nonlinear coefficient inverse wave sensing problem. The completeness of the set of products of regular harmonic functions and Newtonian potentials supported by a segment is proved. As a corollary, we establish the uniqueness of the solution to M.M. Lavrentiev's equation and a related inverse problem of wave sensing. We present results of an approximate solution of this equation by using parallel calculations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 19954239
- Volume :
- 15
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Numerical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 160682495
- Full Text :
- https://doi.org/10.1134/S1995423922040097