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L.H Wiryanto
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Mathematics

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AN IMPLICIT FINITE DIFFERENCE METHOD FOR A FORCED KDV EQUATION Wiryanto, L.H; A, Achirul
MATEMATIKA Vol 11, No 1 (2008): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A finite difference method is developed to solve a forced KdV equation representing a surface elevation of fluid flowing on a channel with a small bump at the bottom. We indicate some difficulties in solving the equation since it has a nonlinear and third derivative terms. We present the technique in this paper to solve the equation. As the result, the numerical scheme gives solutions performing nonlinear wave-trains of water surface generated by the forcing term.  
A NUMERICAL SOLUTION OF SURFACE WAVE IN POROUS MEDIA Wiryanto, L.H
MATEMATIKA Vol 12, No 1 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A model of wave propagation in porous medium is derived, based on the pressure, giving a diffusive-like equation. The model is then solved numerically by a finite difference method. Taylor approximation is applied to the nonlinear term to obtain a diagonal dominant matrix corresponding to the finite difference equations, so that Gauss-Seidel iteration can used to solve the system of equations. As the result, over-damped wave is performed in this paper, related to quality of the medium.  
METODA BEDA HINGGA PADA PERSAMAAN KDV GELOMBANG INTERFACE Wiryanto, L.H; Djohan, Warsoma
MATEMATIKA Vol 9, No 1 (2006): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Propagation of interfacial wave, modeled in an equation of KdV type, is solved numerically. A finite different method is used to construct a system of linear equations from the model, and the system is solved by Gauss-Seidel method. This numerical procedure is firstly tested for solitary wave, which gives agreement to the analytical solution, and is then used to observe a simulation of wave propagation generated on the left by a generator, for some various values of parameters, depth and fluid density
Co-Authors A, Achirul Warsoma Djohan