A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems
Resource
Computers, Materials & Continua, 19(1), 17-36
Journal
Computers, Materials & Continua
Journal Volume
19
Journal Issue
1
Pages
17-36
Date Issued
2010
Date
2010
Author(s)
Chang, Chih-Wen
Liu, Chein-Shan
Abstract
The present study shows a backward group preserving scheme (BGPS) to deal with the multi-dimensional backward wave problem (BWP). The BWP is well-known as seriously ill-posed because the solution does not continuously count on the given data. When three numerical experiments are tested, we reveal that the BGPS is applicable to the multi-dimensional BWP. Even with noisy final data, the BGPS is also robust against perturbation. The numerical results are very pivotal in the computations of multi-dimensional BWP.
Type
journal article
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