Search Results - 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, 1433-3058Published: Heidelberg Springer Nature B.V 01.03.2018Published in 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, 1433-3058Published: London Springer London 01.09.2024Published in Neural computing & applications (01.09.2024)Get full text
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Numerical Solutions of Fractional Systems of Two-Point BVPs by Using the Iterative Reproducing Kernel Algorithm
ISSN: 0041-5995, 1573-9376Published: New York Springer US 01.10.2018Published in 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RETRACTED ARTICLE: Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates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, 1433-3058Published: London Springer London 01.03.2018Published in 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: 1110-0168Published: Elsevier B.V 01.03.2022Published in 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, 1873-5460Published: Elsevier B.V 01.12.2021Published in 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, 1879-1778Published: Kidlington Elsevier B.V 15.05.2011Published in 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, 1687-0409Published: New York Hindawi Limiteds 01.01.2012Published in 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: 1110-0168Published: Elsevier B.V 01.10.2021Published in 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, 1096-0783Published: Elsevier Inc 01.04.2010Published in 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, 1096-603XPublished: Elsevier Inc 01.09.2016Published in 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, 1099-1476Published: Freiburg Blackwell Publishing Ltd 01.07.2016Published in 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, 1941-0476Published: IEEE 15.11.2015Published in 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, 2195-2698Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2023Published in 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, 2180-4206Published: Singapore Springer Nature Singapore 01.01.2024Published in 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, 1879-1778Published: Elsevier B.V 15.01.2018Published in 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, 1879-1778Published: Elsevier B.V 01.08.2017Published in 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, 1095-9572Published: United States Elsevier Inc 01.05.2011Published in 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, 1096-0813Published: Elsevier Inc 15.12.2016Published in 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: 1520-6149Published: IEEE 01.04.2015Published in 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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