A Computational Method for Cauchy Problem of Laplace Equation in Multidimensional Case
نویسندگان
چکیده
In this paper we propose a computational method for solving a Cauchy problem of Laplace’s equation. By using the Green formula, the Cauchy problem is transformed to a moment problem so that numerical computations by using a regularization technique can be achieved. Stability estimation and suitable choice of regularization parameter for the proposed method are also given. For numerical verification, two numerical examples in the two and three dimensional cases are presented.
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