Fractional newton explicit group method for time-fractional nonlinear porous medium equations

Vui, Jackel Lung Chew and Andang Sunarto and Jumat Sulaiman and Mohammad Fadhli Asli (2024) Fractional newton explicit group method for time-fractional nonlinear porous medium equations. Progress in Fractional Differentiation and Applications An International Journal, 10 (3). pp. 391-398. ISSN 2356-9336

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Abstract

This paper presents a fractional Newton explicit group method to solve time-fractional nonlinear porous medium equations. The presented method utilizes implicit finite difference schemes with the Caputo time-fractional derivative operator. This paper aims to evaluate the accuracy and efficiency of the proposed method in solving initial boundary value problems of porous medium equations at different orders of time-fractional derivatives. The method is experimented repeatedly by using several large systems of equations to illustrate the consistency of the method’s performance. In addition, the method is also experimented in solving some physics problems, which can show the method’s efficacy in solving realistic phenomena.

Item Type: Article
Keyword: Porous medium equation, Time-fractional, Caputo, Finite difference method, Newton method, Explicit group
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis
Q Science > QA Mathematics > QA1-939 Mathematics > QA71-90 Instruments and machines > QA75.5-76.95 Electronic computers. Computer science
Department: FACULTY > Faculty of Computing and Informatics
Depositing User: SITI AZIZAH BINTI IDRIS -
Date Deposited: 18 Nov 2024 11:15
Last Modified: 18 Nov 2024 11:15
URI: https://eprints.ums.edu.my/id/eprint/41929

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