Convergence Analysis and Approximate Optimal Temporal Step Sizes for Some Finite Difference Methods Discretising Fisher's Equation
نویسندگان
چکیده
In this study, we obtain a numerical solution for Fisher's equation using experiment with three different cases. The cases correspond to coefficients the reaction term. We use methods namely; Forward-Time Central Space (FTCS) scheme, Nonstandard Finite Difference (NSFD) and Explicit Exponential (EEFD) scheme. first study properties of schemes such as positivity, boundedness, stability convergence estimates. then values L 1 ∞ errors in order an estimate optimal time step size at given value spatial size. determine if is influenced by choice or coefficient term used. Finally, compute rate all
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ژورنال
عنوان ژورنال: Frontiers in Applied Mathematics and Statistics
سال: 2022
ISSN: ['2297-4687']
DOI: https://doi.org/10.3389/fams.2022.921170