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A multicompartment TLM model for solving first‐order rate equations
Author(s) -
Saleh A. H. M.
Publication year - 1989
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1660020105
Subject(s) - differential equation , mathematics , simple (philosophy) , computer science , runge–kutta methods , matrix (chemical analysis) , first order , mathematical analysis , philosophy , materials science , epistemology , composite material
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.