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On the numerical solution of differential algebraic equations
Author(s) -
AudrySanchez Javier
Publication year - 1988
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450660623
Subject(s) - differential algebraic equation , differential algebraic geometry , algebraic equation , numerical partial differential equations , nonlinear system , numerical analysis , mathematics , differential equation , ordinary differential equation , algebraic number , multigrid method , collocation method , backward differentiation formula , computer science , mathematical analysis , physics , quantum mechanics
A method is proposed to transform a system of differential algebraic equations (D.A.E.) to a system of ordinary differential equations (O.D.E.) which can be solved relatively easily by standard numerical techniques. Two examples, including a model of an absorption tower, are given to illustrate the utility of the method. The example problems reveal that this easily implemented technique offers significant savings in CPU time compared to the numerical solution of the untransformed D.A.E.s particularly when the algebraic equations are nonlinear. Furthermore, it appears to be faster and/or more reliable than other numerical schemes which have been recently developed for equations of this type.