MMN-1027

Exact solutions for differential-algebraic equations

Abstract

This work presents the application of series method to find solutions of differential-algebraic equations systems(DAEs). We present two cases study to show that series method generates approximate solutions for DAEs. The type of tested equations are a linear and a nonlinear DAEs of index-3. What is more, we present the post-processing of the series solutions with Laplace-Padé (LP) resummation method as a useful strategy to find exact solutions or to extend the domain of convergence of the power series solutions.


Vol. 15 (2014), No. 1, pp. 227-238
DOI: https://doi.org/10.18514/MMN.2014.1027


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