TY  - EJOU
AU  - Chang, Chih-Wen  
AU  - Liu, Chein-Shan  

TI  - A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems
T2  - Computers, Materials \& Continua

PY  - 2010
VL  - 19
IS  - 1
SN  - 1546-2226

AB  - 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.
KW  - Wave equation
KW  -  Backward wave problem
KW  -  Strongly ill-posed problem
KW  -  Backward group preserving scheme (BGPS)
KW  -  Group preserving scheme (GPS)

DO  - 10.3970/cmc.2010.019.017