Výsledky vyhledávání - Numerical approximation of solutions of functional-differential equations

Approximations of Solutions to Abstract Neutral Functional Differential Equation Autor Dubey, Reeta Shukla

“…In the present work, we study the approximations of solutions to the abstract neutral functional differential equations with bounded delay…”
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Numerical solution for a family of delay functional differential equations using step by step Tau approximations Autor René Escalante

“… This paper means to highlight the fact that the step by step Tau method is a natural and promising strategy in the numerical solution of functional differential equations…”
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Numerical approximation of nonlinear neutral stochastic functional differential equations Autor Zhou, Shaobo, Fang, Zheng

“…The paper investigates numerical approximations for solution of neutral stochastic functional differential equation (NSFDE…”
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Numerical treatment of oscillatory functional differential equations Autor Ford, Neville J., Yan, Yubin, Abdul Malique, Md

“… (that is, those equations where all the solutions oscillate) under a numerical approximation. Our interest is in the preservation of qualitative properties of solutions under a numerical discretisation…”
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The numerical approximation of nonlinear functionals and functional differential equations Autor Venturi, Daniele

“…The fundamental importance of functional differential equations has been recognized in many areas of mathematical physics, such as fluid dynamics…”
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Hybrid stochastic functional differential equations with infinite delay: Approximations and numerics Autor Li, Guozhen, Li, Xiaoyue, Mao, Xuerong, Song, Guoting

“…This paper is to investigate if the solution of a hybrid stochastic functional differential equation (SFDE…”
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Numerical solutions of stochastic functional differential equations with impulsive perturbations and Markovian switching Autor Tran, Ky Q., Yin, George

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Numerical algorithm for the variable-order Caputo fractional functional differential equation Autor Bhrawy, A. H., Zaky, M. A.

“… The underline variable-order FDE is then reduced to a system of algebraic equations, which greatly simplifies the solution process…”
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Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions Autor Ahmad, Bashir, Nieto, Juan J.

“…This paper describes the method of quasilinearization for first-order nonlinear impulsive functional differential equations with anti-periodic boundary conditions…”
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Trotter-Kato approximations of stochastic neutral partial functional differential equations Autor Govindan, T. E.

“…In this paper, a stochastic neutral partial functional differential equation is studied in real separable Hilbert spaces…”
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Numerical Solutions of Neutral Stochastic Functional Differential Equations Autor Wu, Fuke, Mao, Xuerong

“…This paper examines the numerical solutions of neutral stochastic functional differential equations ( NSFDEs) $d[x(t)\, - \,u(x_t )]\, = \,f(x_t )dt\, + \,g(x_t )dw(t),\,t \ge \,0…”
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An explicit approximation for super-linear stochastic functional differential equations Autor Li, Xiaoyue, Mao, Xuerong, Song, Guoting

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Approximation for stochastic functional differential equation with past-dependent switching Autor Gui, Liting, Zhang, Jiayan, Zhou, Shaobo

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A Note on Exponential Stability for Numerical Solution of Neutral Stochastic Functional Differential Equations Autor Wang, Qi, Chen, Huabin, Yuan, Chenggui

“…This paper examines the numerical solutions of the neutral stochastic functional differential equation…”
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Approximation of eigenvalues of evolution operators for linear coupled renewal and retarded functional differential equations Autor Breda, Dimitri, Liessi, Davide

“… analyses and numerical tests. The method combines the ideas of the analogous techniques developed separately for renewal equations and for retarded functional differential equations…”
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Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay Autor Ren, Yong, Xia, Ningmao

“…In this paper, we obtain the existence and uniqueness of solutions to neutral stochastic functional differential equations with infinite delay at phase space BC ( ( - ∞ , 0 ] ; R d…”
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Tensor approximation of functional differential equations Autor Rodgers, Abram, Venturi, Daniele

“…Functional differential equations (FDEs) play a fundamental role in many areas of mathematical physics, including fluid dynamics…”
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Stochastic perturbation of SIS model with bounded time-dependent parameters: formulation and numerical approximation Autor García, Yofre H., Gómez, Flor A.

“…(t) are bounded time-dependent functions and ξt is a white noise. We verify that there is a global positive solution to the stochastic differential equation (SIS-Itô-SDE…”
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Spectral methods for nonlinear functionals and functional differential equations Autor Venturi, Daniele, Dektor, Alec

“…We present a rigorous convergence analysis for cylindrical approximations of nonlinear functionals, functional derivatives, and functional differential equations (FDEs…”
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Continuity and approximation properties of solutions to fractional neutral stochastic functional differential equations with non-Lipschitz coefficients Autor Wen, Jiaping, He, Ping, Lv, Wujun

“…This paper aims to investigate a fractional neutral stochastic functional differential equation (FNSFDE…”
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