Suchergebnisse - Numerical approximation of solutions of functional-differential equations

  1. 1

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

    ISSN: 0163-0563, 1532-2467
    Veröffentlicht: Philadelphia, PA Taylor & Francis Group 12.01.2011
    Veröffentlicht in Numerical functional analysis and optimization (12.01.2011)
    “… In the present work, we study the approximations of solutions to the abstract neutral functional differential equations with bounded delay …”
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    Journal Article
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    Numerical solution for a family of delay functional differential equations using step by step Tau approximations von René Escalante

    ISSN: 2244-8659, 2244-8659
    Veröffentlicht: Universidad Simón Bolívar 01.12.2013
    Veröffentlicht in Bulletin of Computational Applied Mathematics (01.12.2013)
    “… 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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    Journal Article
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    Numerical approximation of nonlinear neutral stochastic functional differential equations von Zhou, Shaobo, Fang, Zheng

    ISSN: 1598-5865, 1865-2085
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.03.2013
    Veröffentlicht in Journal of applied mathematics & computing (01.03.2013)
    “… The paper investigates numerical approximations for solution of neutral stochastic functional differential equation (NSFDE …”
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  4. 4

    Numerical treatment of oscillatory functional differential equations von Ford, Neville J., Yan, Yubin, Abdul Malique, Md

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Kidlington Elsevier B.V 01.09.2010
    Veröffentlicht in Journal of computational and applied mathematics (01.09.2010)
    “… (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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    Journal Article Tagungsbericht
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    The numerical approximation of nonlinear functionals and functional differential equations von Venturi, Daniele

    ISSN: 0370-1573, 1873-6270
    Veröffentlicht: Elsevier B.V 18.02.2018
    Veröffentlicht in Physics reports (18.02.2018)
    “… The fundamental importance of functional differential equations has been recognized in many areas of mathematical physics, such as fluid dynamics …”
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  6. 6

    Hybrid stochastic functional differential equations with infinite delay: Approximations and numerics von Li, Guozhen, Li, Xiaoyue, Mao, Xuerong, Song, Guoting

    ISSN: 0022-0396, 1090-2732
    Veröffentlicht: Elsevier Inc 25.11.2023
    Veröffentlicht in Journal of Differential Equations (25.11.2023)
    “… This paper is to investigate if the solution of a hybrid stochastic functional differential equation (SFDE …”
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    Numerical algorithm for the variable-order Caputo fractional functional differential equation von Bhrawy, A. H., Zaky, M. A.

    ISSN: 0924-090X, 1573-269X
    Veröffentlicht: Dordrecht Springer Netherlands 01.08.2016
    Veröffentlicht in Nonlinear dynamics (01.08.2016)
    “… 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 von Ahmad, Bashir, Nieto, Juan J.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 15.11.2008
    Veröffentlicht in Nonlinear analysis (15.11.2008)
    “… This paper describes the method of quasilinearization for first-order nonlinear impulsive functional differential equations with anti-periodic boundary conditions …”
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    Journal Article
  10. 10

    Trotter-Kato approximations of stochastic neutral partial functional differential equations von Govindan, T. E.

    ISSN: 0019-5588, 0975-7465
    Veröffentlicht: New Delhi Indian National Science Academy 01.09.2021
    Veröffentlicht in Indian journal of pure and applied mathematics (01.09.2021)
    “… In this paper, a stochastic neutral partial functional differential equation is studied in real separable Hilbert spaces …”
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    Journal Article
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    Numerical Solutions of Neutral Stochastic Functional Differential Equations von Wu, Fuke, Mao, Xuerong

    ISSN: 0036-1429, 1095-7170
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2008
    Veröffentlicht in SIAM journal on numerical analysis (01.01.2008)
    “… 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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    A Note on Exponential Stability for Numerical Solution of Neutral Stochastic Functional Differential Equations von Wang, Qi, Chen, Huabin, Yuan, Chenggui

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.03.2022
    Veröffentlicht in Mathematics (Basel) (01.03.2022)
    “… This paper examines the numerical solutions of the neutral stochastic functional differential equation …”
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    Journal Article
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    Approximation of eigenvalues of evolution operators for linear coupled renewal and retarded functional differential equations von Breda, Dimitri, Liessi, Davide

    ISSN: 0035-5038, 1827-3491
    Veröffentlicht: Cham Springer International Publishing 01.11.2020
    Veröffentlicht in Ricerche di matematica (01.11.2020)
    “… 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 von Ren, Yong, Xia, Ningmao

    ISSN: 0096-3003, 1873-5649
    Veröffentlicht: Amsterdam Elsevier Inc 01.04.2009
    Veröffentlicht in Applied mathematics and computation (01.04.2009)
    “… 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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    Journal Article
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    Tensor approximation of functional differential equations von Rodgers, Abram, Venturi, Daniele

    ISSN: 2470-0053, 2470-0053
    Veröffentlicht: United States 01.07.2024
    Veröffentlicht in Physical review. E (01.07.2024)
    “… Functional differential equations (FDEs) play a fundamental role in many areas of mathematical physics, including fluid dynamics …”
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    Journal Article
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    Stochastic perturbation of SIS model with bounded time-dependent parameters: formulation and numerical approximation von García, Yofre H., Gómez, Flor A.

    ISSN: 2238-3603, 1807-0302
    Veröffentlicht: Heidelberg Springer Nature B.V 01.03.2026
    Veröffentlicht in Computational & applied mathematics (01.03.2026)
    “… (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 von Venturi, Daniele, Dektor, Alec

    ISSN: 2522-0144, 2197-9847
    Veröffentlicht: Cham Springer International Publishing 01.06.2021
    Veröffentlicht in Research in the mathematical sciences (01.06.2021)
    “… 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 von Wen, Jiaping, He, Ping, Lv, Wujun

    ISSN: 1744-2508, 1744-2516
    Veröffentlicht: Abingdon Taylor & Francis 19.05.2023
    Veröffentlicht in Stochastics (Abingdon, Eng. : 2005) (19.05.2023)
    “… This paper aims to investigate a fractional neutral stochastic functional differential equation (FNSFDE …”
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