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Abstract
The problem of finding a solution of the Helmholtz equation in an irregular strip bounded by a line and a curve C: y = y(x) with data specified on C is formulated as an integral of the first kind. The latter is converted in to an equivalent convolution equation which is regularized using Tikhonov method. The error estimates between the regularized solutions and the exact one are given upon the smoothness of the exact one.
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Article Details
Issue: Vol 3 No 9&10 (2000)
Page No.: 9-15
Published: Oct 31, 2000
Section: Article
DOI: https://doi.org/10.32508/stdj.v3i9&10.3590
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Copyright: The Authors. This is an open access article distributed under the terms of the Creative Commons Attribution License CC-BY 4.0., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
How to Cite
Thanh Nhieu, V., Cong Tam, N., & Van Tho, C. (2000). REGULARIZED SOLUTIONS OF A CAUCHY PROBLEM FOR THE HELMHOLTZ EQUATION IN AN IRREGULAR STRIP: THE ERROR ESTIMATES. Science and Technology Development Journal, 3(9&10), 9-15. https://doi.org/https://doi.org/10.32508/stdj.v3i9&10.3590
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