Development Of Non-Standard Finite Difference Methods For Systems Of Fractional Differential Equations With Application To Mathematical Biology Problems

Masoud, Al Kathiri Said Salim (2025) Development Of Non-Standard Finite Difference Methods For Systems Of Fractional Differential Equations With Application To Mathematical Biology Problems. PhD thesis, Universiti Sains Malaysia.

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Abstract

Non-standard finite difference schemes (NSFDSs) have been proven highly effective in solving non-fractional differential equations. However, the applications of these schemes to physical phenomena, e.g., biological disease models, remain largely unexplored. Therefore, in this thesis, a mechanism has been developed to implement these schemes beyond the existing limitations of solving smaller fractional models.

Item Type: Thesis (PhD)
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Thesis
Depositing User: Mr Aizat Asmawi Abdul Rahim
Date Deposited: 25 May 2026 04:19
Last Modified: 25 May 2026 04:19
URI: http://eprints.usm.my/id/eprint/64272

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