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Volume :34 Issue : 2 2007      Add To Cart                                                                    Download

Numerical study for solving heave and pitch equations of a ship

Auther : ABDOLLAH SHIDFAR AND PARIS NABATI

Department of Mathematics, Iran University of science and Technology, Tehran, Iran, and Marine Research and design Center, Tehran, Iran
ABSTRACT
 
This paper presents two numerical methods for solving the heave and pitch equations of motion of a ship.  For this purpose, the system of differential equations of motion will be transferred to a system of Volterra integral equations and then this system will be solved by using the Trapezoidal method and an Iterative scheme.  Finally, by using an example, the analytic solution and the numerical solutions will be compared.
 
Keywords:  Iterative scheme; ship motions; system equations; system of Volterra integral equations; trapezoidal method.

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