One-step and extrapolation methods for differential- algebraic systems
Numerische Mathematik
Approximation methods for the consistent initialization of differential-algebraic equations
SIAM Journal on Numerical Analysis
Solving Ordinary Differential Equations Using Taylor Series
ACM Transactions on Mathematical Software (TOMS)
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
On the numerical solution of differential equations of Lane-Emden type
Computers & Mathematics with Applications
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In this paper, the solution for a chemical differential algebraic equation (DAE) can be expanded up to arbitrary order using MAPLE computer algebra systems. First we calculate power series of the given equations system then transform it into Padé series form, which give an arbitrary order for solving chemical DAE numerically.