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Two numerical methods for a Cauchy problem for modified Helmholtz equation |
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| Authors: | Xiangtuan Xiong Wanxia ShiXiaoyan Fan |
| Institution: | Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070, People’s Republic of China |
| Abstract: | We consider a Cauchy problem for the modified Helmholtz equation. A conditional stability estimate is proved. Two order optimal regularization methods and error estimates are investigated. Numerical experiment shows that these methods work well. |
| Keywords: | Ill-posed Stability estimate Quasi-boundary condition Regularization Error estimate |
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