6. CONCLUSIONS
A pioneering work for modeling of the tide–induced groundwater response
using the spacetime collocation approach has been proposed. We carried
out numerical problems to verify our method. The comparison of the
results and accuracy for the SCA with the time–marching FDM is carried
out. The findings and contribution of this study are addressed.
Furthermore, the SCA is adopted to evaluate the tidal and groundwater
piezometer data at the Xing–Da port, Kaohsiung, Taiwan.
The results from numerical examples depict that the SCA may obtain
highly accurate result comparing to other numerical methods. Besides,
the proposed method demonstrates the advantage of the SCA that we only
discretize by a set of points on the spacetime boundary without tedious
mesh generation. Hence, it may significantly enhance the applicability.