Results 1 to 10 of about 22,980 (304)
Asymptotic integration of linear differential-algebraic equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations with asymptotically constant coefficients. Some results of asymptotic integration which are well known for ordinary differential equations (ODEs)
Vu Hoang Linh, Nguyen Tuan
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Stability analysis of nonlinear algebraic-differential equations with 2-delays and numerical methods. [PDF]
PLoS ONEThis paper investigates stability analysis and numerical approaches for nonlinear delay differential-algebraic equations with 2-delays. Based on asymptotic stability considerations for Hessenberg type delay differential-algebraic equations, we develop a ...
Huiqing Liao +3 more
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A new approach for solving fractional differential-algebraic equations
Journal of Taibah University for Science, 2017 In this paper, the Bezier curves method is implemented to give approximate solutions for fractional differential-algebraic equations (FDAEs). This methods in applied mathematics can be used as approximated method for obtaining approximate solutions for ...
F. Ghomanjani
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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Stochastic Runge–Kutta methods for multi-dimensional Itô stochastic differential algebraic equations
Results in Applied Mathematics, 2021 In this paper, we discuss the numerical solutions to index 1 stochastic differential algebraic equations. We introduce a new class of weak second-order stochastic Runge–Kutta methods for finding the numerical approximate solutions to multi-dimensional ...
Priya Nair, Anandaraman Rathinasamy
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Numerical solutions for implicit differential equations with singularities
Semina: Ciências Exatas e Tecnológicas, 2022 In this paper we introduce a technique to deal with implicit differential equations exhibiting singularities. Our approach is a geometrical one, we use the concept of contact structure on a manifold associated with the differential equation.
Antonio Castelo +2 more
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Development of technique of Backward integration step-by-step for solve stiff initial value problems
Tikrit Journal of Pure Science, 2023 Our purpose in this paper is the development of the technique of backward integration step-by-step, In order to facilitating the use of this technique for solving the Stiff Problems.
Khalid A. M. Khalaf, Bashir M. S. Khalaf
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Mathematics, 2020 Fractional calculus is widely used in engineering fields. In complex mechanical systems, multi-body dynamics can be modelled by fractional differential-algebraic equations when considering the fractional constitutive relations of some materials.
Yongpeng Tai +4 more
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The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint [PDF]
Journal of Electrical and Computer Engineering Innovations, 2013 In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations ...
R. Hajmohammadi +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2022 This paper deals with the boundary value problem for a singularly perturbed system of differential algebraic equations of the second order. The case of simple roots of the characteristic equation is studied.
P.F. Samusenko, M.B. Vira
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