The purpose of this study is to propose a high-accuracy and fast numerical method for the Cauchy problem of the Laplace equation. Our problem is directly discretized by the method of fundamental solutions (MFS). The Tikhonov regularization method stabilizes a numerical solution of the problem for gi
β¦ LIBER β¦
A new investigation into regularization techniques for the method of fundamental solutions
β Scribed by Ji Lin; Wen Chen; Fuzhang Wang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 291 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0378-4754
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The Laplace transform is applied to remove the time-dependent variable in the di usion equation. For nonharmonic initial conditions this gives rise to a non-homogeneous modiΓΏed Helmholtz equation which we solve by the method of fundamental solutions. To do this a particular solution must be obtained