Numerical Analysis of Fisher Equation
AL-Rafidain Journal of Computer Sciences and Mathematics,
2006, Volume 3, Issue 1, Pages 85-100
AbstractThe Fisher Equation had been solved numerically by using two Methods of Finite Differences Methods. The First is Explicit Scheme Method and the Second is Crank–Nicholson Method. A Comparison had been made between these two methods and we find that the Crank–Nicholson Method converges towards saturation state u=1 faster than the Explicit Scheme Method (Table 1). Also the numerical stability for both Methods had been made, the Explicit Scheme Method is conditionally stable and the condition is , while Crank–Nicholson Method has the condition for step size, but time step is unconditionally stable.
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