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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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.
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
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