Results 11 to 20 of about 28,711 (161)
OSFESOR Code – The Delay Differential Equation Tool “Improving Delay Differential Equations Solver” [PDF]
AL-Rafidain Journal of Computer Sciences and Mathematics, 2004 After having reviewed the RETARD code, which was originally written by Hairer & Wanner in 1995 with the aim of solving delay differential equations (DDEs), a new arithmetic called OSFESOR code is presented in this paper.
Riyadh Naoum +2 more
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Van der Pol model in two-delay differential equation representation
Scientific Reports, 2022 The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
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Computation, 2023 In this article, we consider a delayed system of first-order hyperbolic differential equations. The presence of the delay term in first-order hyperbolic delay differential equations poses significant challenges in both analysis and numerical solutions ...
Karthick Sampath +2 more
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Mathematics, 2021 The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential ...
Rongrong Guo, Qingdao Huang, Qingmin Liu
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Fuzzy Type RK4 Solutions to Fuzzy Hybrid Retarded Delay Differential Equations
Frontiers in Physics, 2019 This paper constructs the numerical solution of particular type of differential equations called fuzzy hybrid retarded delay-differential equations using the method of Runge-Kutta for fourth order.
Prasantha Bharathi Dhandapani +4 more
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Advances in Difference Equations, 2010 The existence and uniqueness of solutions and a representation of solution formulas are studied for the following initial value problem: x˙(t)+∫t0tK(t,s)x(h(s))ds=f(t), t≥t0, x∈ℝn, x(t)=
Zdenĕk Šmarda +2 more
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A numerical technique for solving nonlinear singularly perturbed delay differential equations
Mathematical Modelling and Analysis, 2018 This paper presents a numerical technique for solving nonlinear singularly perturbed delay differential equations. Quasilinearization technique is applied to convert the nonlinear singularly perturbed delay differential equation into a sequence of linear
A.S.V. Ravi Kanth, Mohan Kumar P. Murali
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An implicit system of delay differential algebraic equations from hydrodynamics
Electronic Journal of Qualitative Theory of Differential Equations, 2023 Direct spring operated pressure relief valves connected to a constantly charged vessel and a downstream pipe have a complex dynamics. The vessel-valve subsystem is described with an autonomous system of ordinary differential equations, while the presence
Fanni Kádár, Gábor Stépán
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Fractal and Fractional, 2021 This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour +4 more
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Ain Shams Engineering Journal, 2018 In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
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