In this paper, the Chebyshev spectral collocation method(CSCM) for one-dimensional linear hyperbolic telegraph equation is presented. Chebyshev spectral collocation method have become very useful in providing highly accurate solutions to partial differential equations. A straightforward implementation of these methods involves the use of spectral differentiation matrices. Firstly, we transform ...

The Honigmann process is a thermochemical energy storage converting low temperature heat into mechanical work. To control and optimize the operation of the storage, the Honigmann process is simulated numerically using a set of differential-algebraic equations (DAEs) as governing equations. We analyze this DAE regarding its solvability, the uniqueness of solutions and the efficiency of numerical...

This paper addresses dynamic optimization of a large-scale natural gas processing plant through the formulation of rigorous unit dynamic models. The resulting differential-algebraic equation (DAE) optimization problem is solved with an advanced simultaneous strategy that transforms the original problem into a nonlinear program. Emphasis has been given to detailed thermodynamic and solubility ca...

Abstract. Differential algebraic equations (DAEs) are used to describe many physical processes. A completion of a DAE is an ordinary differential equation whose solutions include those of the DAE. Algorithms exists for designing stabilized completions of differential algebraic equations. Recent work on observers for DAEs has shown the need for more information on, and control of the placement o...

Block diagram method is an old approach for the modeling and simulation of differential equations. Modeling and simulation of some kind of differential equations such as differential-algebraic equations (DAE) is cumbersome, difficult, or even impossible with this approach. Scicos which is a modeling and simulation software based on Block diagram approach has recently been developed to simulate ...

In recent years, Fuzzy differential equations are very useful indifferent sciences such as physics, chemistry, biology and economy. It should be noted, that if the equations that appear to be uncertain, then take help of fuzzy logic at these equations. Considering that most of the time analytic solution of such equations and finding an exact solution has either high complexity or cannot be solv...