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  • The paper deals with the usage of classical numerical methods in the mathematical software Matlab. First, the Euler's method was introduced. As this method is also not so accurate, more accurate Runge-Kutta's second and fourth order methods were described. These methods belongs to the class of single-step numerical methods which means, that we need only actual value of the quantity for the computation of the value in the next step. The common thing for all these methods is that they all comes from the Taylor's series and differs only in the number of parts which they use for the computation. Big advantage can be found also in easy programmability of these methods although they are often build-in functions in the Mathematical software. The contribution also compares results for programmed and build-in functions for two different examples of ordinary differential equation sets.
  • The paper deals with the usage of classical numerical methods in the mathematical software Matlab. First, the Euler's method was introduced. As this method is also not so accurate, more accurate Runge-Kutta's second and fourth order methods were described. These methods belongs to the class of single-step numerical methods which means, that we need only actual value of the quantity for the computation of the value in the next step. The common thing for all these methods is that they all comes from the Taylor's series and differs only in the number of parts which they use for the computation. Big advantage can be found also in easy programmability of these methods although they are often build-in functions in the Mathematical software. The contribution also compares results for programmed and build-in functions for two different examples of ordinary differential equation sets. (en)
Title
  • Numerical Solving of Differential Equations Using MATLAB
  • Numerical Solving of Differential Equations Using MATLAB (en)
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  • Numerical Solving of Differential Equations Using MATLAB
  • Numerical Solving of Differential Equations Using MATLAB (en)
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  • RIV/70883521:28610/13:43870820!RIV14-MSM-28610___
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  • 92622
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  • RIV/70883521:28610/13:43870820
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  • Runge-Kutta's method.; Midpoint method; Ralston's method; Heun's method; Euler's method; Numerical solution; Differential equation (en)
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  • [2012A51FB26C]
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  • Valencia
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  • Barcelona
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  • Proceedings of the 4th International Conference on circuits, Systems, Control, Signals (CSCS´13)
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  • Dostál, Petr
  • Vojtěšek, Jiří
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issn
  • 1790-5117
number of pages
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  • WSEAS Press
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  • 978-960-474-318-6
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  • 28610
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