A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems

作者：Chang Chih Wen^*; Liu Chein Shan

来源：Computers Materials & Continua, 2010, 19(1): 17-36.

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

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.

• 出版日期2010-9