Highly accurate solution of the axial dispersion model expressed in S-system canonical form by Taylor series method
✍ Scribed by Fumihide Shiraishi
- Book ID
- 104426954
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 174 KB
- Volume
- 83
- Category
- Article
- ISSN
- 1385-8947
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✦ Synopsis
A numerical method for solving an axial dispersion model (two-point boundary value problem) with extremely high-order accuracy is presented. In this method, one first recasts fundamental differential equations into S-system (synergistic and saturable system) canonical form and then solves the resulting set of simultaneous first-order differential equations by the shooting method combined with a variable-order, variable-step Taylor series method. As a result, it is found that over wide ranges of systemic parameters (Peclet number, dimensionless kinetic constant, and reaction order), this method promises numerical solutions with the superhigh-order accuracy that is comparable to the machine accuracy of the computer used. The advantage of the numerical method is also discussed.