Archive:: Applied and Computational Mathematics:: Science Publishing Group

Volume 13, Issue 2, April 2024

Research Article
Variable Time-stepping Exponential Integrators for Chemical Reactors with Analytical Jacobians

Jared Stewart^*, Mayya Tokman, Valentin Dallerit, Fabrizio Bisetti, Oscar Diaz-Ibarra

Issue: Volume 13, Issue 2, April 2024

Pages: 29-37

Received: 18 February 2024

Accepted: 19 March 2024

Published: 7 April 2024

DOI: 10.11648/j.acm.20241302.11

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Abstract: Chemical combustion problems are known to be stiff and therefore difficult to efficiently integrate in time when numerically simulated. Implicit methods, such as backwards differentiation formula (BDF), are widely considered to be the state-of-the-art methods owing their capability of taking relatively large time-steps while maintaining accurate co... Show More

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Research Article
A Reaction-diffusion System Modeling the Transmission of Typhoid Fever in a Periodic Environment

Huei-Li Lin, Yu-Chiau Shyu, Chih-Lang Lin, Feng-Bin Wang

Issue: Volume 13, Issue 2, April 2024

Pages: 38-52

Received: 13 March 2024

Accepted: 27 March 2024

Published: 21 April 2024

DOI: 10.11648/j.acm.20241302.12

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Abstract: Typhoid fever is a life-threatening infection caused by the bacterium Salmonella Typhi, and it is still an important issue in developing countries. There are two infection routes of Typhoid fever, namely, the human-to-human transmission and the environment-to-human transmission. It is evident that people living near rivers may have a higher rate of... Show More

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