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Numerical Analysis of Fisher Equation | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 15, Volume 3, Issue 1, 2006, Pages 85-100 PDF (433.62 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2006.164046 | ||
| Authors | ||
| Saad A. Manna; Ahmed F. Qassim | ||
| College of Computer Science and Mathematics University of Mosul, Iraq | ||
| Abstract | ||
| The 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. | ||
| Keywords | ||
| numerical analysis; numerical stability; Finite Differences Methods; Explicit Scheme Method; Crank–Nicholson Method; Fisher Equation | ||
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