Výsledky vyhledávání - Iterative reproducing kernel algorithm
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Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates
ISSN: 0941-0643, 1433-3058Vydáno: Heidelberg Springer Nature B.V 01.03.2018Vydáno v Neural computing & applications (01.03.2018)“…This paper presents iterative reproducing kernel algorithm for obtaining the numerical solutions of Bagley–Torvik and Painlevé…”
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Retraction Note: Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates
ISSN: 0941-0643, 1433-3058Vydáno: London Springer London 01.09.2024Vydáno v Neural computing & applications (01.09.2024)Získat plný text
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Numerical Solutions of Fractional Systems of Two-Point BVPs by Using the Iterative Reproducing Kernel Algorithm
ISSN: 0041-5995, 1573-9376Vydáno: New York Springer US 01.10.2018Vydáno v Ukrainian mathematical journal (01.10.2018)“…We propose an efficient computational method, namely, the iterative reproducing kernel method for the approximate solution of fractional-order systems of two-point time boundary-value problems in the Caputo sense…”
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RETRACTED ARTICLE: Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates
ISSN: 0941-0643, 1433-3058Vydáno: London Springer London 01.03.2018Vydáno v Neural computing & applications (01.03.2018)“…This paper presents iterative reproducing kernel algorithm for obtaining the numerical solutions of Bagley–Torvik and Painlevé…”
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Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space
ISSN: 1110-0168Vydáno: Elsevier B.V 01.03.2022Vydáno v Alexandria engineering journal (01.03.2022)“… The methodology relies on creating the reproducing kernel functions to gain analytical solutions in a uniform form of a rapidly convergent series in the Hilbert space…”
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Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method
ISSN: 0168-9274, 1873-5460Vydáno: Elsevier B.V 01.12.2021Vydáno v Applied numerical mathematics (01.12.2021)“…The pivotal aim of present work is to design and implement an effective numerical approach, the iterative reproducing-kernel algorithm, to provide numerical solutions to the fractional Riccati…”
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Solving the generalized regularized long wave equation on the basis of a reproducing kernel space
ISSN: 0377-0427, 1879-1778Vydáno: Kidlington Elsevier B.V 15.05.2011Vydáno v Journal of computational and applied mathematics (15.05.2011)“…On the basis of a reproducing kernel space, an iterative algorithm for solving the generalized regularized long wave equation is presented…”
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Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations
ISSN: 1085-3375, 1687-0409Vydáno: New York Hindawi Limiteds 01.01.2012Vydáno v Abstract and Applied Analysis (01.01.2012)“…On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented…”
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Numerical algorithm to solve a coupled system of fractional order using a novel reproducing kernel method
ISSN: 1110-0168Vydáno: Elsevier B.V 01.10.2021Vydáno v Alexandria engineering journal (01.10.2021)“…In this paper, a coupled system of fractional differential equations along with integral boundary conditions is discussed by means of the iterative reproducing kernel algorithm…”
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Sampling and reconstruction of signals in a reproducing kernel subspace of L p ( R d )
ISSN: 0022-1236, 1096-0783Vydáno: Elsevier Inc 01.04.2010Vydáno v Journal of functional analysis (01.04.2010)“…In this paper, we consider sampling and reconstruction of signals in a reproducing kernel subspace of L p ( R d ) , 1 ⩽ p…”
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Sampling and Galerkin reconstruction in reproducing kernel spaces
ISSN: 1063-5203, 1096-603XVydáno: Elsevier Inc 01.09.2016Vydáno v Applied and computational harmonic analysis (01.09.2016)“… We show that the proposed Galerkin method provides a quasi-optimal approximation, and the corresponding Galerkin equations could be solved by an iterative approximation-projection algorithm…”
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Average sampling and reconstruction for reproducing kernel stochastic signals
ISSN: 0170-4214, 1099-1476Vydáno: Freiburg Blackwell Publishing Ltd 01.07.2016Vydáno v Mathematical methods in the applied sciences (01.07.2016)“… First, a uniform convergence result for reconstructing the deterministic reproducing kernel signals by an iterative algorithm is established…”
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Adaptive learning in Cartesian product of reproducing kernel Hilbert spaces
ISSN: 1053-587X, 1941-0476Vydáno: IEEE 15.11.2015Vydáno v IEEE transactions on signal processing (15.11.2015)“…We propose a novel adaptive learning algorithm based on iterative orthogonal projections in the Cartesian product of multiple reproducing kernel Hilbert spaces (RKHSs…”
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Adaptation of reproducing kernel method in solving Atangana–Baleanu fractional Bratu model
ISSN: 2195-268X, 2195-2698Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2023Vydáno v International journal of dynamics and control (01.02.2023)“…–Baleanu operator with easily calculable components. By means of reproducing kernel theory, an iterative operational algorithm is built for dealing with the fractional Bratu-type equations…”
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Sampling and Reconstruction of Concentrated Reproducing Kernel Signals in Mixed Lebesgue Spaces
ISSN: 0126-6705, 2180-4206Vydáno: Singapore Springer Nature Singapore 01.01.2024Vydáno v Bulletin of the Malaysian Mathematical Sciences Society (01.01.2024)“… ) , where X is a metric space with non-negative Borel measure. We first revisit and reformulate the iterative reconstruction algorithms in reproducing kernel subspaces of mixed Lebesgue spaces…”
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An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems
ISSN: 0377-0427, 1879-1778Vydáno: Elsevier B.V 15.01.2018Vydáno v Journal of computational and applied mathematics (15.01.2018)“… The algorithm is based on the reproducing kernel Hilbert space method. We use an iterative scheme to overcome the nonlinearity of the problem…”
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Sampling and quasi-optimal approximation for signals in a reproducing kernel space of homogeneous type
ISSN: 0377-0427, 1879-1778Vydáno: Elsevier B.V 01.08.2017Vydáno v Journal of computational and applied mathematics (01.08.2017)“… Secondly, the stability and an iterative algorithm with exponential convergence are established for sampling and recovering signals in a subspace of homogeneous reproducing kernel space…”
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A regularization algorithm for decoding perceptual temporal profiles from fMRI data
ISSN: 1053-8119, 1095-9572, 1095-9572Vydáno: United States Elsevier Inc 01.05.2011Vydáno v NeuroImage (Orlando, Fla.) (01.05.2011)“… Hence, new algorithms were proposed to solve this inverse problem in the context of Reproducing Kernel Hilbert Spaces…”
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Time sampling and reconstruction in weighted reproducing kernel subspaces
ISSN: 0022-247X, 1096-0813Vydáno: Elsevier Inc 15.12.2016Vydáno v Journal of mathematical analysis and applications (15.12.2016)“…This paper mainly studies the time sampling and reconstruction of signals in weighted reproducing kernel subspaces of Lνp…”
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Online learning based on iterative projections in sum space of linear and Gaussian reproducing kernel Hilbert spaces
ISSN: 1520-6149Vydáno: IEEE 01.04.2015Vydáno v 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (01.04.2015)“…We propose a novel multikernel adaptive filtering algorithm based on the iterative projections in the sum space of reproducing kernel Hilbert spaces…”
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