scholarly journals Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Begoña Cantó ◽  
Carmen Coll ◽  
Elena Sánchez

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.

2018 ◽  
Vol 23 (3) ◽  
pp. 39 ◽  
Author(s):  
Chahid Ghaddar

We present a systematic spreadsheet method for modeling and optimizing general partial differential algebraic equations (PDAE). The method exploits a pure spreadsheet PDAE solver function design that encapsulates the Method of Lines and permits seamless integration with an Excel spreadsheet nonlinear programming solver. Two alternative least-square dynamical minimization schemes are devised and demonstrated on a complex parameterized PDAE system with discontinues properties and coupled time derivatives. Applying the method involves no more than defining a few formulas that closely parallel the original mathematical equations, without any programming skills. It offers a simpler alternative to more complex environments which require nontrivial programming skill and effort.


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