Numerical method to solve chemical differential‐algebraic equations

@article{elik2002NumericalMT,
  title={Numerical method to solve chemical differential‐algebraic equations},
  author={Ercan Çelik and Erdal Karaduman and Mustafa Bayram},
  journal={International Journal of Quantum Chemistry},
  year={2002},
  volume={89},
  pages={447-451}
}
In this article, the solution of a chemical differential-algebraic equation model of general type F(y, y′, x) = 0 has been done using MAPLE computer algebra systems. The MAPLE program is given in the Appendix. First we calculate the Power series of the given equations system, then we transform it into Pade series form, which gives an arbitrary order for solving chemical differential-algebraic equation numerically. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002 
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43 Citations
Background Citations
4
Methods Citations
14

43 Citations

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  • Mathematics
    Journal of Science and Arts
  • 2022
In this paper, the Legendre polynomials approximations are studied for the numerical solutions of differential-algebraic equations (DAEs). An algorithm of the method constructed using Legendre…
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  • E. Çelik
  • Mathematics, Computer Science
    Appl. Math. Comput.
  • 2004
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References

SHOWING 1-9 OF 9 REFERENCES
Approximation methods for the consistent initialization of differential-algebraic equations
TLDR
The consistency requirement is characterized by a system of equations, an approximation method is introduced for these equations, and the numerical solution of the resulting system is analyzed for certain important classes of DAEs.
Computing consistent initial conditions for differential-algebraic equations
One-step and extrapolation methods for differential-algebraic systems
SummaryThe paper analyzes one-step methods for differential-algebraic equations (DAE) in terms of convergence order. In view of extrapolation methods, certain perturbed asymptotic expansions are…
A P-stable exponentially fitted method for the numerical integration of the Schrödinger equation
New P-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation
Dissipative high phase-lag order numerov-type methods for the numerical solution of the Schrodinger equation
A generator of families of explicit hybrid methods with minimal phase lag is developed in this paper. The methods of the generator have algebraic order six. The main characteristic of the new methods…
Getting around consistent initialization of DAE systems
Some New Four-Step Exponential-Fitting Methods for the Numerical Solution of the Radical Schrödinger Equation
On the numerical solution of differential-algebraic equations by Padé series