A reproducing kernel Hilbert space method for solving the nonlinear three‐point boundary value problems

Foroutan, Mohammadreza; Asadi, Raheleh; Ebadian, Ali

doi:10.1002/jnm.2573

Cited by 5 publications

(4 citation statements)

References 28 publications

(38 reference statements)

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“…Complex and the convergence rate is relatively slow. Compared with the other two numerical iterative implementations, the numerical implementation using www.ijacsa.thesai.org clear difference has a much faster convergence rate [17]. Therefore, the display scheme is commonly used by people, and the implementation of the display scheme is as follows:…”

Section: Denoising Model Of Musical Note Featuresmentioning

confidence: 99%

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Music Note Feature Recognition Method based on Hilbert Space Method Fused with Partial Differential Equations

Liu¹

2023

IJACSA

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Hilbert space method is an old mathematical theoretical model developed based on linear algebra and has a high theoretical value and practical application. The basic idea of the Hilbert space method is to use the existence of some stable relationship between variables and to use the dynamic dependence between variables to construct the solution of differential equations, thus transforming mathematical problems into algebraic problems. This paper firstly studies the denoising model in the process of music note feature recognition based on partial differential equations, then analyzes the denoising method based on partial differential equations and gives an algorithm for fused music note feature recognition in Hilbert space; secondly, this paper studies the commonly used music note feature recognition methods, including linear predictive cepstral coefficients, Mel frequency cepstral coefficients, wavelet transform-based feature extraction methods and Hilbert spacebased feature extraction methods. Their corresponding feature extraction processes are given.

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Section: Denoising Model Of Musical Note Featuresmentioning

confidence: 99%

“…The equation of energy density level is the most commonly used and representative model parameter in Hilbert space, which can be not only directly obtained but also used for solving. It is widely used in various complex problems, and its representation is shown in the formula (17).…”

Section: Emd Filteringmentioning

confidence: 99%

Music Note Feature Recognition Method based on Hilbert Space Method Fused with Partial Differential Equations

Liu¹

2023

IJACSA

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“…Emamjome et al [7] have presented the reproducing kernel pseudospectral technique in details. Foroutan et al [8] have investigated this technique for the nonlinear three-point boundary value problems. Akgül et al [9] have worked on the representation for the reproducing kernel Hilbert space method for a nonlinear system.…”

Section: Introductionmentioning

confidence: 99%

On the solutions of boundary value problems

Akgül

Hashemi

Seyfi

2021

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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We investigate the nonlinear boundary value problems by reproducing kernel Hilbert space technique in this paper. We construct some reproducing kernel Hilbert spaces. We define a bounded linear operator to obtain the solutions of the problems. We demonstrate our numerical results by some tables. We compare our numerical results with some results exist in the literature to present the efficiency of the proposed method.

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“…Reproducing kernel method for solving nonlinear fractional fredholm-integrodifferential Equation has been searched in [12]. For more details see [3,9,2,11,15,4].…”

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confidence: 99%