A Study on Grid-Size and Time-Step Calculation using the Taylor Series in Time Series Water Wave Modeling

Abstract

This paper presents the time-step and grid-size calculation methods for solving time series wave differential equations using the Finite Difference Method. The methods are formulated using the Taylor series, assuming that at a very small time-step and grid-size, the number of terms in the Taylor series starting with 2nd order with the highest order is much smaller than the order