An Integral Equations Method for the Cauchy Problem Connected with the Helmholtz Equation

Yao Sun and Deyue Zhang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

We are concerned with the Cauchy problem connected with the Helmholtz equation. We propose a numerical method, which is based on the Helmholtz representation, for obtaining an approximate solution to the problem, and then we analyze the convergence and stability with a suitable choice of regularization method. Numerical experiments are also presented to show the effectiveness of our method.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:218760

DOI: 10.1155/2013/218760

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