Techniques for two-time level difference schemes are presented for the numerical solution of first-order hyperbolic partial differential equations. The space derivative is approximated by (i) a low-order, and (ii) a higher-order backward difference replacement, resulting in a system of first-order o
A multicompartment TLM model for solving first-order rate equations
โ Scribed by A. H. M. Saleh
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 351 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0894-3370
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โฆ Synopsis
This paper introduces a simple model for solving a system of first-order rate equations using the TLM numerical method. A general algorithm is developed by setting up a matrix of discrete compartments. The rate constants provide the linkage between each compartment and the neighbouring ones. The method is demonstrated by some examples in which saturation conditions are considered. The TLM solution is compared with analytical solutions and the Rung-Kutta method of solving differential equations.
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