Abstract
This paper investigates the numerical computation of a Cauchy problem for Laplace's equation which is a typical ill-posed problem. By using Green's formula, the problem is transformed to a moment problem. For numerical computation of the moment problem, an error estimation and several numerical examples for verification are presented. Necessary and sufficient conditions for the existence of the solution of the Cauchy problems for Laplace's equation in two-dimension are also given. © Wiley-VCH Verlag Berlin GmbH, 2001.
| Original language | English |
|---|---|
| Pages (from-to) | 665-674 |
| Journal | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
| Volume | 81 |
| Issue number | 10 |
| Publication status | Published - 2001 |
Research Keywords
- Cauchy problem
- Error estimation
- Ill-posedness
- Numerical computation
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