Chew, Jackel Vui Lung and Jumat Sulaiman and Fatihah Anas Muhiddin (2021) Numerical evaluation on the solution of the porous medium equation by 4point newtonexplicit group. International Journal of Mathematics and Computer Science, 16. pp. 14871496. ISSN 18140432
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Abstract
The porous medium equation is known as one of the nonlinear partial differential equations that are used to describe many physical phenomena involving fluid flow, mass and heat transfer, and diffusion of gas particles. The solution to this equation is important to understand the phenomena better. With the numerical method and advanced computing tools nowadays, solving nonlinear partial differential equations like the porous medium equation has gained interest from several researchers. Motivated by numerous efforts in solving porous medium equations, we propose a 4point NewtonExplicit Group method and evaluate its efficiency to solve the onedimensional problem of the porous medium equation. The formulation of the finite difference scheme, the derivation of the 4point NewtonExplicit Group, and the numerical evaluation of the proposed method are presented. From the numerical study, we show that the 4point NewtonExplicit Group method has a promising improvement in terms of efficiency when compared to the NewtonGaussSeidel and the 2point NewtonExplicit Group methods.
Item Type:  Article 

Keyword:  Onedimensional porous medium equation , Finite difference method , Newton method , Explicit Group 
Subjects:  Q Science > QA Mathematics > QA1939 Mathematics > QA143 General 
Department:  FACULTY > Faculty of Science and Natural Resources 
Depositing User:  DG MASNIAH AHMAD  
Date Deposited:  28 Oct 2022 15:32 
Last Modified:  03 Nov 2022 10:23 
URI:  https://eprints.ums.edu.my/id/eprint/34619 
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