Publication: Development Of Non-Standard Finite Difference Methods For Systems Of Fractional Differential Equations With Application To Mathematical Biology Problems
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Date
2025-08
Authors
Masoud, Al Kathiri Said Salim
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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.
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Keywords
Development Of Non-Standard Finite Difference Methods , Systems Of Fractional Differential Equations , Mathematical Biology Problems