Governing differential equations in explicit algebraic form
Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints
... differential-algebraic equations with non-autonomous constraints of a particular ...differential equations on implicitly defined manifolds, combined with elementary facts of matrix ...
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Transformation of Differential Algebraic Array Equations to Index One Form
... developed: equations as well as variables are not scalarized but keep their original array types, even if ...(array) equations are either explicitly solved if this is possible or residues for implicit ...
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On differential–algebraic equations in infinite dimensions
... H, differential-algebraic equations have applications to control and electrical circuit theory, see ...normal form, see ...of differential-algebraic equations in infinite ...
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On the homogenization of partial integro-differential-algebraic equations
... that the homogenized material law contains fractional derivatives with respect to time or explicit delay terms: Indeed, these operators cannot be represented as material laws, which are analytic in 0, see e.g. ...
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The numerical solution of partial differential algebraic equations
... Full list of author information is available at the end of the article Abstract In this paper, a numerical solution of partial differential-algebraic equations (PDAEs) is considered by multivariate Padé ...
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Pseudo-transient continuation and differential-algebraic equations
... It takes many doublings of grid density before the bilinearly interpolated solution on the refined grid lies initially in the ball of convergence of Newton’s method applied directly to the steady-state system. 4. ...
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On the Stability Analysis of Delay Differential-Algebraic Equations
... both differential and difference operators, as well as the algebraic constraints, the study for DDAEs is much more complicated than that for standard DDEs or ...the form (3), stability properties of ...
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Linear Differential-Algebraic Equations (Benchmark Proposal)
... partial differential equation by discretizing the state space ...semi- explicit index-1 DAE systems [2] capable of dealing with 42 continuous state ...
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Efficient Numerical Methods for Solving Differential Algebraic Equations
... solve Differential Algebraic Equation (DAE) problems in their original form, wherein both the differential and algebraic equations ...
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Initial value problems for system of differential algebraic equations in Maple
... the differential index and then we find the general solution with free param- ...canonical form using the shuffle algorithm which produces another simple equivalent sys- tem, and the canonical system can be ...
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How AD can help solve differential-algebraic equations
... Many numerical methods for higher index DAEs start with index reduction: augmenting the DAE by time-derivatives of some of its equations to produce a DAE of larger size and smaller index. Various index reduction ...
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Order of growth of solutions to algebraic differential equations in the unit disk
... Our second result concerns the situation where a restriction is placed on the number of poles each coefficient function can have. We use the usual little n counting function of Nevanlinna theory and state the following ...
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Krylov deferred correction methods for differential equations with algebraic constraints
... 5.4.4 Richards’ Equation The Richards’ Equation (RE) is a highly nonlinear time dependent parabolic sys- tem describing flows in porous media [54, 41]. While a standard and frequently used model, the highly nonlinear ...
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Stability criteria for neutral delay differential algebraic equations with many delays
... differential equations (FDEs) have a wide range of applications in science and ...the form of delay differential equations (DDEs) and neutral delay differential equations (NDDEs) ...differential ...
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The Additional Dynamics of the Least Squares Completions of Linear Differential Algebraic Equations
... index-3 DAE. Many mechanical systems fall in this category. Hessenberg systems are solvable [18], [41]. 1.4 Least Squares Completions In this section we will describe the least squares completion which is the basis of ...
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Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... fuzzy differential algebraic equations of fractional order (FFDAEs) based on the fractional differential transform Method (FDTM) which is proposed to solve (FFDAEs) ...of equations are ...
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Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... excellent lubricity, which is far superior compared with that of mineral oils.2) Vegetable oils also have a high VI.3) they have higher flash Point. 4) More importantly, vegetable oils are biodegradable, generally less ...
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Control of fluid flows and other systems governed by partial differential-algebraic equations
... Placing aside the issue of controlling constrained systems, the problem of designing con- trollers for LTI spatially distributed systems can be tackled in different ways, as will be discussed in Chapter 3. By far the ...
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Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
... differential equations to nonlinear ordinary differential ...An algebraic method is improved to construct uniformly a series of exact solutions for some nonlinear time-space fractional partial differential ...
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Introduction to Differential Algebraic Equations
... Two serious issues to consider when solving DAEs • The solutions of the lower index DAE may not be a solution of the original DAE. This is known as a drift off effect. • Finding initial conditions that satisfy both the ...
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