Theoretical study of the differential equation concept of tsunami waves using the leapfrog scheme

In this research work, tsunami wave propagation models and the underlying theory are examined through solving numerical wave-based partial differential equations using the leapfrog scheme. Following the wave physics theory, shallow water equations are explored for their basics and influential parameters; then, numerical methods are employed to solve said equations. As a result, the derivatives of shallow water equations for tsunami propagation modeling have been successfully formulated. (paper)