Error analysis of Parallel Multivalue Hybrid Methods for index-2 Differential-Algebraic Equations

2008 ◽  
Vol 2 (1/2) ◽  
pp. 181 ◽  
Author(s):  
Aiguo Xiao ◽  
Jialan Liu
Keyword(s):  
Error Analysis ◽  
Hybrid Methods ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Index 2

scholarly journals Biodiesel Production by Reactive Flash: A Numerical Simulation

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Alejandro Regalado-Méndez ◽  
Sigurd Skogestad ◽  
Reyna Natividad ◽  
Rubí Romero
Keyword(s):  
Numerical Simulation ◽  
Differential Algebraic Equations ◽  
Biodiesel Production ◽  
Algebraic Equations ◽  
Flow Ratio ◽  
Bubble Point ◽  
Biodiesel Quality ◽  
Index 2 ◽  
Globally Stable ◽  
System Approaches

Reactive flash (RF) in biodiesel production has been studied in order to investigate steady-state multiplicities, singularities, and effect of biodiesel quality when the RF system approaches to bubble point. The RF was modeled by an index-2 system of differential algebraic equations, the vapor split (ϕ) was computed by modified Rachford-Rice equation and modified Raoult’s law computed bubble point, and the continuation analysis was tracked on MATCONT. Results of this study show the existence of turning points, leading to a unique bubble point manifold,(xBiodiesel,T)=(0.46,478.41 K), which is a globally stable flashing operation. Also, the results of the simulation in MATLAB® of the dynamic behavior of the RF show that conversion of triglycerides reaches 97% for a residence time of 5.8 minutes and a methanol to triglyceride molar flow ratio of 5 : 1.

scholarly journals On Asymptotics in Case of Linear Index-2 Differential-Algebraic Equations

1998 ◽  
Vol 35 (4) ◽  
pp. 1326-1346 ◽  
Author(s):  
Michael Hanke ◽  
Ebroul Izquierdo Macana ◽  
Roswitha März
Keyword(s):  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Linear Index ◽  
Index 2

CONVERGENCE ANALYSIS OF THE PSEUDOSPECTRAL METHOD FOR LINEAR DAEs OF INDEX-2

2013 ◽  
Vol 10 (04) ◽  
pp. 1350019 ◽  
Author(s):  
F. GHANBARI ◽  
F. GHOREISHI
Keyword(s):  
Approximate Solution ◽  
Chebyshev Polynomials ◽  
Numerical Experiments ◽  
Pseudospectral Method ◽  
Posteriori Error ◽  
Differential Algebraic Equations ◽  
A Posteriori ◽  
Algebraic Equations ◽  
A Posteriori Error ◽  
Index 2

This paper is concerned with the study of pseudospectral discretizations of the differential-algebraic equations (DAEs). Pseudospectral method based on Chebyshev polynomials are used to transcribe a given DAE into a system of algebraic equations. A posteriori error bound between the desired solution to the index 2, DAEs and the pseudospectral approximate solution of the problem is estimated in the weighted L2 norm. Some numerical experiments are considered to demonstrate the efficiency and the applicability of the method.

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