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2018 Analytical Approach for Solving the Internal Waves Problems Involving the Tidal Force
Jaharuddin, Hadi Hermansyah
J. Appl. Math. 2018: 1-5 (2018). DOI: 10.1155/2018/6835179

Abstract

The mathematical model for describing internal waves of the ocean is derived from the assumption of ideal fluid; i.e., the fluid is incompressible and inviscid. These internal waves are generated through the interaction between the tidal currents and the basic topography of the fluid. Basically the mathematical model of the internal wave problem of the ocean is a system of nonlinear partial differential equations (PDEs). In this paper, the analytical approach used to solve nonlinear PDE is the Homotopy Analysis Method (HAM). HAM can be applied to determine the resolution of almost any internal wave problem involving tidal forces. The use of HAM in the solution to basic fluid equations is efficient and simple, since it involves only modest calculations using the common integral.

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Jaharuddin. Hadi Hermansyah. "Analytical Approach for Solving the Internal Waves Problems Involving the Tidal Force." J. Appl. Math. 2018 1 - 5, 2018. https://doi.org/10.1155/2018/6835179

Information

Received: 23 April 2018; Accepted: 10 July 2018; Published: 2018
First available in Project Euclid: 19 September 2018

zbMATH: 07000938
MathSciNet: MR3844420
Digital Object Identifier: 10.1155/2018/6835179

Rights: Copyright © 2018 Hindawi

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