Differential transform method for the solutions to some initial value problems in chemistry

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...

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Bibliographic Details
Published in:Journal of mathematical chemistry 2021-04, Vol.59 (4), p.1046-1053
Main Authors: Qin, Yupeng, Lou, Qingjun
Format: Article
Language:English
Subjects:
Boundary value problems
Chemistry
Chemistry and Materials Science
Differential equations
Exact solutions
Math. Applications in Chemistry
Original Paper
Physical Chemistry
Theoretical and Computational Chemistry
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Summary: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.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-021-01225-7