Solutions of Some Differential Algebraic Equations by Laplace-Pad𝐞́ Resummation Method

Abstract

Differential Algebraic Equation arise a variety of application. There for their analysis and numerical treatment plays an important role. We give examples of DAEs are considered showing their importance for practical problem and known index concept. In the context of the tractability index existence and uniqueness of solution for low index linear DAEs. The main tool is a procedure to doucaple the DAE into it’s dynamical and algebraic part and use result to study numerical method when applied to linear DAEs. We present two cases application of series method to find some solution of DAEs system by processing of the series solutions with Laplace-Pade (LP). Finally found analytical solution of (PDAEs) in two system index-1 and index-3 by (LPPSM).