Application of the Sawi Transform to Chemical Differential Equation Models
DOI:
https://doi.org/10.54172/7ddtph53Keywords:
Chemical Mixture, Chemical science, Inverse transform, Mathematical Modelling, Sawi transformAbstract
In order to solve mathematical models in chemical sciences, this study compares the performance of the Sawi transform with the traditional Laplace transform. A first-order differential equation for reaction-diffusion processes, a model with time-dependent coefficients to evaluate flexibility, and a second-order equation describing single-step reversible reactions are the three different scenarios to which the Sawi transform is applied. Our findings show that the Sawi transform preserves exact analytical consistency with the Laplace transform while successfully reducing algebraic difficulty in the transformation process. In particular, the study showed that the Sawi transform produces identical exact solutions to standard methods while handling variable coefficients with improved procedural efficiency. These results demonstrate that the Sawi transform is a reliable and mathematically straightforward substitute for simulating complex chemical processes.
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