Differential transform method for the solutions to some initial value problems in chemistry. (English) Zbl 1470.34006
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.
MSC:
| 34A05 | Explicit solutions, first integrals of ordinary differential equations |
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |
| 92C45 | Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) |
| 34A25 | Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. |
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