Chew, Jackel Vui Lung and Jumat Sulaiman and Andang Sunarto (2021) The application of successive overrelaxation method for the solution of linearized halfsweep finite difference approximation to twodimensional porous medium equation.
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The application of successive overrelaxation method for the solution of linearized halfsweep finite difference approximation to twodimensional porous medium equation.ABSTRACT.pdf Download (58kB) 

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The application of successive overrelaxation method for the solution of linearized halfsweep finite difference approximation to twodimensional porous medium equation.pdf Restricted to Registered users only Download (391kB)  Request a copy 
Abstract
Successive overrelaxation or S.O.R. method is a widely known parameterbased iterative method that can regulate a large and sparse system of equations so that the number of iterations required to solve the system can be reduced. Many researchers have applied the S.O.R. method to get the solution to the mathematical problem efficiently. This paper extends the application of the S.O.R. method to solve one of the nonlinear partial differential equation, which is the twodimensional porous medium equation. The S.O.R. method is incorporated into an iterative method that is formulated based on a halfsweep finite difference approximation, and the Newtontype linearization solves the nonlinear term that presents in the equation. The numerical experiment that uses this innovative numerical method to solve several twodimensional porous medium equation problems shows significant improvement to the percentage of reduction in the number of iterations and computation time.
Item Type:  Proceedings 

Keyword:  Dimensional porous medium , Equation , Halfsweep , 
Subjects:  Q Science > QA Mathematics > QA1939 Mathematics > QA143 General 
Department:  FACULTY > Faculty of Computing and Informatics 
Depositing User:  DG MASNIAH AHMAD  
Date Deposited:  03 May 2022 21:10 
Last Modified:  03 May 2022 21:10 
URI:  https://eprints.ums.edu.my/id/eprint/32518 
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