Analytical Solutions of Chemical Reaction Kinetic Models Through Integral Transform Techniques

Experts in mathematical modeling are currently using integral transforms to model many scientific phenomena. In this sense, the current work evaluates the success rate of the HK transform relative to the well-known Laplace transform by examining how it can be used to solve differential equations describing chemical processes. A first-order differential equation representing chemical reaction and diffusion models was used to demonstrate the HK transform's ability to simplify calculations and yield exact analytical solutions. The same method was then applied to a model that generated component diffusion in a reactive medium with a time-dependent coefficient, demonstrating the transform's ability in handling various coefficients. Lastly, the study examined a single step reversible chemical process represented by a second-order differential equation, and the outcomes of the Laplace and HK transforms were contrasted. The comparison established the HK transform as a trustworthy substitute mathematical tool for modeling and studying a variety of chemical systems by confirming that both transformations provide com-parable accuracy and efficacy.