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Differential transform method applied to high index differential-algebraic equations. (English) Zbl 1115.65089

Summary: F. Ayaz [Appl. Math. Comput. 152, No. 3, 649–657 (2004; Zbl 1077.65088)] had considered the numerical solution of linear differential-algebraic equations (DAEs) by the differential transform method. Two index-1 DAEs have been solved by using the method and the numerical solutions coincide with the exact solution very well.

In this paper, high index DAEs are considered. Index-2 DAEs can be done in a similar way. A counter example is proposed to explain that the method is not suitable for all index-3 DAEs.

65L80Numerical methods for differential-algebraic equations
34A09Implicit equations, differential-algebraic equations