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A Crank-Nicolson Method of Autocatalytic Reaction-Diffusion Systems | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 4, Volume 3, Issue 2, 2006, Pages 41-52 PDF (470.22 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2006.164050 | ||
| Authors | ||
| Abbas Y. Al-Bayati1; Saad A. Manaa1; Abdulghafor M. Al-Rozbayani2 | ||
| 1College of Computer Sciences and Mathematics, University of Mosul, Iraq | ||
| 2college of computer science and mathmatic/mosul university | ||
| Abstract | ||
| In this paper we used two numerical methods to investigate propagating heat solutions of PDEs. The explicit and Crank-Nicolson methods and the results show that Crank-Nicolson method is more accurate than the explicit method. As an illustration, we used the above method to an autocatalytic reaction diffusion equations involving two diffusing chemicals in one dimension. | ||
| Keywords | ||
| Crank-Nicolson Method; explicit; autocatalytic reaction diffusion equations | ||
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