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.