algebraic equations
Efficient Numerical Methods for Solving Differential Algebraic Equations
... of algebraic equations, and subsequently solve the differential equations using the derived ...solving algebraic eq- uations, since it performs almost as well as the Newton method, but ...
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On the Stability Analysis of Delay Differential-Algebraic Equations
... Abstract: The stability analysis of linear time invariant delay differential- algebraic equations (DDAEs) is analyzed. Examples are delivered to demonstrate that the eigenvalue-based approach to analyze the ...
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Bolh-Perron Theorem for Differential Algebraic Equations
... In lots of applications there is a frequently arising question, namely how robust is a characteristic qualitative property of a system (e.g., the stability) when the system comes under the effect of uncertain ...
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The numerical solution of partial differential algebraic equations
... 12. Bildik, N, Konuralp, A: Two-dimensional differential transform method, Adomian’s decomposition method and variational iteration method for partial differential equations. Int. J. Comput. Math. 83(12), 973-987 ...
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Linear Differential-Algebraic Equations (Benchmark Proposal)
... In this manuscript we have presented a diverse set of challenging executable benchmarks for the verification of differential algebraic equations. We have also provided a tool named Daev that is able to ...
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Stabilization of Linear Differential-algebraic Equations with Time-varying Delay
... differential-algebraic equations with time- varying ...differential-algebraic equations is considered with time- varying delay in the ...
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On higher index differential-algebraic equations in infinite dimensions
... Abstract. We consider initial value problems for differential-algebraic equations in a possibly infinite-dimensional Hilbert space. Assuming a growth condition for the associated operator pencil, we prove ...
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Pseudo-transient continuation and differential-algebraic equations
... 4. Conclusion. We have shown, under natural assumptions, that tc is a globally convergent method for semi-explicit index-1 differential-algebraic equations. We have also argued that the index-1 DAE ...
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On differential–algebraic equations in infinite dimensions
... Abstract. We consider a class of differential-algebraic equations (DAEs) with index zero in an infinite dimensional Hilbert space. We define a space of consistent initial values, which lead to classical ...
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Retracted Article: Jacobi spectral solution for integral algebraic equations of index 1
... This paper is concerned with obtaining the approximate solution of a class of semi-explicit integral algebraic equations (IAEs) of index 1. A Jacobi collocation method is proposed for the IAEs of index 1. A ...
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Initial value problems for system of differential algebraic equations in Maple
... Applications of DAEs arise naturally in many fields, for example, various dynamic processes, mechanical sys- tems, simulation of electric circuits and chemical reac- tions subject to invariants etc., and these are often ...
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Observer Construction for Systems of Differential Algebraic Equations Using Completions.
... of equations that utilizes the available measurements, or observations, on the inputs and outputs of the physical system to produce an asymptotic estimate of the ...of equations is constructed from a ...
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Differential Algebraic Equations of MOS Circuits and Jump Behavior
... (see also Nielsen and Willson Jr. (1980), Tchizawa (1984), Ichiraku (1979),Thiessen et al. (2012)). The vector x ∈ R n corresponds to the capacitor voltages and inductor currents and y ∈ R m is a vector of additional ...
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Systems of nonlinear algebraic equations with positive solutions
... We are concerned with the positive solutions of an algebraic system depending on a parameter α > 0 and arising in economics. For α > 1 we prove that the system has at least a solution. For 0 < α < 1 we ...
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On the homogenization of partial integro-differential-algebraic equations
... We assume Ω Ň R 3 to be open and bounded. The equations of thermopiezoelectricity describe the interconnected effects of elasticity, thermodynamics and electro-magnetism. The set Ω models a body in its non ...
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Fault Detection in Differential Algebraic Equations.
... High-quality optimization software is required to solve Problem 4.1.2. There are a variety of good optimization software packages available. In order to handle the specific formulations presented in this section the ...
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Solving Differential Equations of Second Order using Quadratic Legendre Multi wavelets (QLMW) with Operational Matrix of Integration
... In this paper is suggested an efficient method to solve differential equations. Using quadratic Legendre multi-wavelets approximation method, differential equations are converted into the system of ...
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Hybrid of Rationalized Haar Functions Method for Mixed Hammerstein Integral Equations
... A numerical method for solving nonlinear mixed Hammerstein integral equations is presented in this paper. The method is based upon hybrid of rationalized Haar functions approximations. The properties of hybrid ...
5
Robust Stability of Implicit Dynamic Equations on Time Scales
... differential-algebraic equations (DAEs) are the mathematical models arising in various applications, such as multibody mechanics, electrical circuits, prescribed path control, chemical engineering, ...
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Asymptotic Behavior of Solutions for Linear Implicit Difference Equations with Index 1
... difference equations (IDEs) (also referred to as singular difference equations, discrete-time descriptor systems) because of their appearance in many practical areas, such as the Leontiev dynamic model of ...
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