نتایج جستجو برای: differential algebraic equations
تعداد نتایج: 510571 فیلتر نتایج به سال:
in this paper, we introduce a family of fractional-order chebyshev functions based on the classical chebyshev polynomials. we calculate and derive the operational matrix of derivative of fractional order $gamma$ in the caputo sense using the fractional-order chebyshev functions. this matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...
A computationally efficient a posteriori error estimator is introduced and analyzed for collocation solutions to linear index-1 differential-algebraic equations with properly stated leading term exhibiting a singularity of the first kind. The procedure is based on a modified defect correction principle, extending an established technique from the context of ordinary differential equations to th...
Towards direct simulations of counterflow flames with consistent differential-algebraic boundary conditions Report Title A new approach for the formulation of boundary conditions for the counterflow configuration is presented. Upon discretization of the steady-state Navier-Stokes equations at the inflow boundaries, numerically algebraic equations are imposed as boundary conditions, while upon d...
in this paper we apply hybrid functions of general block-pulse functions and legendre polynomials for solving linear and nonlinear multi-order fractional differential equations (fdes). our approach is based on incorporating operational matrices of fdes with hybrid functions that reduces the fdes problems to the solution of algebraic systems. error estimate that verifies a converge...
in this paper, we propose the chebyshev wavelet approximation for the numerical solution of a class of integro-differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields. we show that the chebyshev approximation transform an integral equation to an explicit system of linear algebraic equations. illustrative examples are included t...
Necessary conditions in terms of a local minimum principle are derived for optimal control problems subject to index-1 differential-algebraic equations, pure state constraints and mixed control-state constraints. Differential-algebraic equations are composite systems of differential equations and algebraic equations, which frequently arise in practical applications. The local minimum principle ...
The central objects of study in this thesis are affine difference algebraic groups. Similar to the case of affine algebraic groups, these groups can all be realized as subgroups of some general linear group defined by algebraic difference equations. However, the defining equations here are not simply polynomials in the matrix entries but difference polynomials, i.e., the defining equations invo...
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