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This document proposes and compares non-standard finite difference schemes for approximating solutions to Michaelis-Menten type reaction diffusion equations. It begins by introducing the exact solution scheme for the basic Michaelis-Menten ordinary differential equation, which involves the Lambert W function. It then constructs three new non-standard finite difference schemes and compares their performance to the exact scheme. The analysis is extended to related partial differential equations by applying Mi
- Author
- Bekele Badada
- Language
- EN