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On the numerical solution of stiff systems. (English) Zbl 1082.65545
Summary: We use power series method to solve stiff ordinary differential equations of the first order and an ordinary differential equation of any order by converting it into a system of differential of the order one. Theoretical considerations has been discussed and some examples were presented to show the ability of the method for linear and nonlinear systems of differential equations. We use MAPLE computer algebra systems for numerical calculations.

##### MSC:
 65L05 Initial value problems for ODE (numerical methods) 68W30 Symbolic computation and algebraic computation 34A30 Linear ODE and systems, general 34A34 Nonlinear ODE and systems, general
##### Keywords:
Stiff system; Power series; linear and nonlinear systems; MAPLE
Maple; RODAS
Full Text:
##### References:
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