Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations | Zendy

Begoña Cantó | Zendy; Carmen Coll | Zendy; Elena Sánchez | Zendy

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Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations

Author(s) -

Begoña Cantó,

Carmen Coll,

Elena Sánchez

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/510519

Subject(s) - mathematics , differential algebraic geometry , discretization , identifiability , differential algebraic equation , numerical partial differential equations , partial differential equation , algebraic equation , class (philosophy) , matrix (chemical analysis) , mathematical analysis , differential equation , algebra over a field , pure mathematics , nonlinear system , ordinary differential equation , computer science , physics , statistics , materials science , artificial intelligence , composite material , quantum mechanics

This paper presents the use of an iteration method to solve the identifiability problem for a class of discretized linear partial differential algebraic equations. This technique consists in replacing the partial derivatives in the PDAE by differences and analyzing the difference algebraic equations obtained. For that, the theory of discrete singular systems, which involves Drazin inverse matrix, is used. This technique can also be applied to other differential equations in mathematical physics

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