Homotopy perturbation method for predicting tsunami wave propagation with crisp and uncertain parameters. Issue 1 (1st May 2020)

• Record Type: Journal Article
• Authors: Karunakar, Perumandla; Chakraverty, Snehashish
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 31:Issue 1(2021)
• Page Start: 92
• Page End: 105
• Publication Date: 2020-05-01
• Subjects: Tsunami -- Shallow water equations -- HPM -- Interval; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-11-2019-0861
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: The purpose of this paper is to find the solution of classical nonlinear shallow-water wave (SWW) equations in particular to the tsunami wave propagation in crisp and interval environment. Design/methodology/approach: Homotopy perturbation method (HPM) has been used for handling crisp and uncertain differential equations governing SWW equations. Findings: The wave height and depth-averaged velocity of a tsunami wave in crisp and interval cases have been obtained. Originality/value: Present results by HPM are compared with the existing solution (in crisp case), and they are found to be in good agreement. Also, the residual error of the solutions is found for the convergence conformation and reliability of the present results.