What are some of the applications of the finite difference method in engineering geology?
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The finite difference method has various applications in engineering geology. It is used for solving engineering problems governed by ordinary and partial differential equations, particularly in heat transfer applications . Additionally, the finite difference method is the dominant method for modeling seismic wave propagation and earthquake motion in seismology . It is also utilized in the buckling analysis of nanoplates, where it can solve higher-order derivatives of differential equations with different types of boundary conditions . Furthermore, the finite difference method is employed in numerical modeling of selected engineering problems in geological media . In microseismic applications, it can be used as an interpretation tool to model complex seismic scenarios, accounting for scattering, waveguide, and near-field effects .
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