Abstract
Under investigation in the present work are such problems in chemistry governed by differential equations. We show that, exact analytical solutions for some chemical problems could be sought by means of the Differential transform method. Actually in the calculation process, based on the differential transform, the original differential equations is first converted to a series of algebraic equations, which could be easily solved via symbolic computing software, then with the aid of the differential inverse transform one would properly seek the exact analytical solutions to these chemical problems. In particular, four typical chemical problems are studied as examples to illustrate the effectiveness of the method.
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Acknowledgements
This work is supported by the National Natural Science Foundation of China (12001233), the Key Scientific Research Projects of the Higher Education Institutions of Henan Province (20B410001), and the Doctoral Fund of Henan Institute of Technology (KQ1860).
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Qin, Y., Lou, Q. Differential transform method for the solutions to some initial value problems in chemistry. J Math Chem 59, 1046–1053 (2021). https://doi.org/10.1007/s10910-021-01225-7
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DOI: https://doi.org/10.1007/s10910-021-01225-7