Journal of Applied Mathematics
Volume 2013 (2013), Article ID 245963, 8 pages
Research Article

The Quasireversibility Regularization Method for Identifying the Unknown Source for the Modified Helmholtz Equation

School of Science, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

Received 3 January 2013; Revised 25 March 2013; Accepted 26 March 2013

Academic Editor: Chein-Shan Liu

Copyright © 2013 Xiao-Xiao Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.