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Comparison of the Selected Methods Used for Solving the Ordinary Differential Equations and Their Systems

Edyta Hetmaniok, Mariusz Pleszczyński

2022Englishordinary differential equationsnumerical methodsRunge–Kuttadifferential transformation methodTaylor seriesMathematica

Abstract

Language:

Ordinary differential equations (ODEs), and the systems of such equations, are used for describing many essential physical phenomena. Therefore, the ability to efficiently solve such tasks is important and desired. The goal of this paper is to compare three methods devoted to solving ODEs and their systems, with respect to the quality of obtained solutions, as well as the speed and reliability of working. These approaches are the classical and often applied Runge–Kutta method of order 4 (RK4), the method developed on the ground of the Taylor series, the differential transformation method (DTM), and the routine available in the Mathematica software (Mat).

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Cite This Work

@article{83511fd5-96f8-4dd9-bd91-2504344caf39,
  title={Comparison of the Selected Methods Used for Solving the Ordinary Differential Equations and Their Systems},
  author={Edyta Hetmaniok and Mariusz Pleszczyński},
  year={2022},
  language={English}
}
TY  - JOUR
TI  - Comparison of the Selected Methods Used for Solving the Ordinary Differential Equations and Their Systems
AU  - Edyta Hetmaniok
AU  - Mariusz Pleszczyński
PY  - 2022
LA  - English
ER  -

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