Tsunami wave propagation model: A fractional approach

This paper presents a fractional approach to study the mathematical model of tsunami wave propagation along a coastline of an ocean. Fractional Reduced Differential Transform Method (FRDTM) is used to analyze this model. The present model has been studied on the shallow-water assumption. It is represented by a time-fractional coupled system of non-linear partial differential equations. Solutions to the proposed model for different coastal slopes and ocean depths have been obtained. Effects of coast slope and sea depth variations on tsunami wave velocity and wave amplification have been demonstrated at different time levels and different orders alpha. The obtained results are compared with Elzaki Adomian Decomposition Method (EADM) to validate the proposed method for an order alpha = 1. (c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Automated summary

This paper presents a fractional approach to studying the mathematical model of tsunami wave propagation along a coastline. The Fractional Reduced Differential Transform Method (FRDTM) is used to analyze the model, and solutions for different coastal slopes and ocean depths are obtained. The effects of coast slope and sea depth variations on tsunami wave velocity and wave amplification are demonstrated at different time levels and orders alpha. The proposed method is validated by comparing the results with the Elzaki Adomian Decomposition Method (EADM) for an order alpha = 1.