Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2013 (2013), Article ID 245963, 8 pages.
The Quasireversibility Regularization Method for Identifying the Unknown Source for the Modified Helmholtz Equation
This paper discusses the problem of determining an unknown source which depends only on one variable for the modified Helmholtz equation. This problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data. The regularization solution is obtained by the quasireversibility regularization method. Convergence estimate is presented between the exact solution and the regularization solution. Moreover, numerical results are presented to illustrate the accuracy and efficiency of this method.
J. Appl. Math., Volume 2013 (2013), Article ID 245963, 8 pages.
First available in Project Euclid: 14 March 2014
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Li, Xiao-Xiao; Yang, Fan; Liu, Jie; Wang, Lan. The Quasireversibility Regularization Method for Identifying the Unknown Source for the Modified Helmholtz Equation. J. Appl. Math. 2013 (2013), Article ID 245963, 8 pages. doi:10.1155/2013/245963. https://projecteuclid.org/euclid.jam/1394807953