Numerical Modeling of Love Waves in Dry Sandy Layer Under Initial Stress Using Different Order Finite Difference Methods

This stated manuscript is concerned with the propagation of surface waves in a dry sandy layer under initial stress. The analysis is based on Biot's theory. The dispersion equation of phase velocity of this proposed layer has been derived using convenient second-order finite difference scheme, staggered-grid finite difference scheme, and higher order finite difference scheme where, in each case, second-order central difference operator has been used for temporal derivatives, but second, fourth, and higher order finite difference scheme are used for spatial derivatives, respectively. A comparison study using these three methods has been done and presented in graphs. It has been shown that staggered-grid finite difference scheme is more accurate than second-order finite difference scheme and higher order finite difference scheme is more accurate than second-order finite difference scheme and staggered-grid finite difference scheme both.