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The numerical solution of partial differential-algebraic equationsKeywords: partial differential-algebraic equation (PDAE), two-dimensional differential transformation, multivariate Padé approximation Abstract: In this paper, a numerical solution of partial differential-algebraic equations (PDAEs) is considered by multivariate Padé approximations. We applied this method to an example. First, PDAE has been converted to power series by two-dimensional differential transformation, and then the numerical solution of the equation was put into a multivariate Padé series form. Thus, we obtained the numerical solution of PDAEs.
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