Search Results - Numerical radial basis function approximation

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  1. 1

    A Local Radial Basis Function Method for Numerical Approximation of Multidimensional Multi-Term Time-Fractional Mixed Wave-Diffusion and Subdiffusion Equation Arising in Fluid Mechanics by Kamran, Gul, Ujala, Khan, Zareen A., Haque, Salma, Mlaiki, Nabil

    ISSN: 2504-3110, 2504-3110
    Published: Basel MDPI AG 01.11.2024
    Published in Fractal and fractional (01.11.2024)
    “…This article develops a simple hybrid localized mesh-free method (LMM) for the numerical modeling of new mixed subdiffusion and wave-diffusion equation with multi-term time-fractional derivatives…”
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    Journal Article
  2. 2

    On convergence of integrated radial basis function approximations on specific stencils with numerical applications by Soleymani, Fazlollah, Zhu, Shengfeng, Barfeie, Mahdiar

    ISSN: 1598-5865, 1865-2085
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2025
    Published in Journal of applied mathematics & computing (01.09.2025)
    “…One strategy to enhance the performance of the localized meshless radial basis function scheme in finite difference mode (RBF-FD…”
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    Journal Article
  3. 3

    Multiquadric radial basis function approximation method and asymptotic numerical method for nonlinear and linear static analysis of single-walled carbon nanotubes by Fouaidi, Mustapha, Jamal, Mohammad, Hamdaoui, Abdellah, Braikat, Bouazza

    ISSN: 0955-7997, 1873-197X
    Published: Elsevier Ltd 01.06.2020
    “…In this paper, a numerical algorithm combining the meshless collocation technique based on the globally supported Multiquadric Radial Basis Function (MQRBF…”
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    Journal Article
  4. 4

    The Radial Basis Functions Method for Improved Numerical Approximations of Geological Processes in Heterogeneous Systems by Piret, Cécile, Dissanayake, Nadun, Gierke, John S., Fornberg, Bengt

    ISSN: 1874-8961, 1874-8953
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2020
    Published in Mathematical geosciences (01.05.2020)
    “…A robust, high order modeling approach is introduced, based on the finite difference-based radial basis functions method, for solving the groundwater flow equation in the presence of an active well…”
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    Journal Article
  5. 5

    Numerical analysis of small-strain elasto-plastic deformation using local Radial Basis Function approximation with Picard iteration by Strniša, Filip, Jančič, Mitja, Kosec, Gregor

    ISSN: 0307-904X
    Published: Elsevier Inc 01.01.2025
    Published in Applied mathematical modelling (01.01.2025)
    “… We present a novel method that uses a Radial Basis Function-Finite Difference (RBF-FD) approach with Picard iteration to solve the system of nonlinear equations arising from plastic deformation…”
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    Journal Article
  6. 6

    Numerical approximations for the Riesz space fractional advection-dispersion equations via radial basis functions by Saberi Zafarghandi, Fahimeh, Mohammadi, Maryam

    ISSN: 0168-9274, 1873-5460
    Published: Elsevier B.V 01.10.2019
    Published in Applied numerical mathematics (01.10.2019)
    “…The radial basis functions collocation method is developed to solve Riesz space fractional advection-dispersion equation (RSFADE…”
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    Journal Article
  7. 7

    Numerical differentiation by radial basis functions approximation by Wei, T., Hon, Y. C.

    ISSN: 1019-7168, 1572-9044
    Published: 01.10.2007
    Published in Advances in computational mathematics (01.10.2007)
    “…Based on radial basis functions approximation, we develop in this paper a new com-putational algorithm for numerical differentiation…”
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    Journal Article
  8. 8

    The numerical solution of nonlinear two-dimensional Volterra–Fredholm integral equations of the second kind based on the radial basis functions approximation with error analysis by Laeli Dastjerdi, H., Nili Ahmadabadi, M.

    ISSN: 0096-3003, 1873-5649
    Published: Elsevier Inc 15.01.2017
    Published in Applied mathematics and computation (15.01.2017)
    “…–Fredholm integral equations of the second kind. The method approximates the solution by the discrete collocation method based on radial basis functions (RBFs…”
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    Journal Article
  9. 9
  10. 10

    A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations by Tien, C.M.T., Mai-Duy, N., Tran, C.-D., Tran-Cong, T.

    ISSN: 0898-1221, 1873-7668
    Published: Oxford Elsevier Ltd 01.11.2016
    “…In this paper, we propose a simple but effective preconditioning technique to improve the numerical stability of Integrated Radial Basis Function (IRBF) methods…”
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    Journal Article
  11. 11

    Numerical Solution of Fractional Black-Scholes Equation by Using Radial Basis Function (RBF) Approximation Method by Sedighe Sharifian, Ali R. Siheili, A. Neisy

    ISSN: 2588-2546, 2588-2554
    Published: Kharazmi University 01.12.2020
    Published in پژوهش‌های ریاضی (01.12.2020)
    “… an important role in determining the price of a high-risk asset in financial modeling field. In this equation, researchers seek to obtain the option value by numerical…”
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    Journal Article
  12. 12
  13. 13

    A modified lattice Boltzmann approach based on radial basis function approximation for the non‐uniform rectangular mesh by Hu, X., Bergadà, J. M., Li, D., Sang, W. M., An, B.

    ISSN: 0271-2091, 1097-0363
    Published: Hoboken, USA John Wiley & Sons, Inc 01.11.2024
    “…We have presented a novel lattice Boltzmann approach for the non‐uniform rectangular mesh based on the radial basis function approximation (RBF‐LBM). The non…”
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    Journal Article
  14. 14

    Numerical linear approximation involving radial basis functions by Zhu, Shengxin

    Published: ProQuest Dissertations & Theses 01.01.2014
    “…This thesis aims to acquire, deepen and promote understanding of computing techniques for high dimensional scattered data approximation with radial basis functions…”
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    Dissertation
  15. 15

    Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model by Jiwari, Ram

    ISSN: 0378-4754, 1872-7166
    Published: Elsevier B.V 01.08.2022
    Published in Mathematics and computers in simulation (01.08.2022)
    “…This work analyzes singularly perturbed Burgers’ model by developing two meshfree algorithms based on local radial basis function-finite difference approximation…”
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    Journal Article
  16. 16

    Numerical solution of ideal MHD equilibrium via radial basis functions collocation and moving least squares approximation methods by Ghasemi, Maryam, Amrollahi, Reza

    ISSN: 0955-7997, 1873-197X
    Published: Elsevier Ltd 01.06.2016
    “…In this study, two different meshfree methods consisting of the Radial Basis Functions (RBFs…”
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    Journal Article
  17. 17

    New Numerical Approximations of Geological Processes in Heterogeneous Systems Using Radial Basis Functions by Kulasekera Mudiyanselage, Nadun Lakshitha Dissanayake

    ISBN: 9798460432721
    Published: ProQuest Dissertations & Theses 01.01.2021
    “… The first chapter provides an introduction to the RBF method. The chapter follows the historical progression of the Radial Basis Function (RBF…”
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    Dissertation
  18. 18

    A Radial Basis Function Partition of Unity Collocation Method for Convection–Diffusion Equations Arising in Financial Applications by Safdari-Vaighani, Ali, Heryudono, Alfa, Larsson, Elisabeth

    ISSN: 0885-7474, 1573-7691, 1573-7691
    Published: New York Springer US 01.08.2015
    Published in Journal of scientific computing (01.08.2015)
    “…Meshfree methods based on radial basis function (RBF) approximation are of interest for numerical solution of partial differential equations (PDEs…”
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    Journal Article
  19. 19

    Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations by Mai-Duy, Nam, Tran-Cong, Thanh

    ISSN: 0955-7997, 1873-197X
    Published: Oxford Elsevier Ltd 01.02.2002
    “…This paper presents the combination of new mesh-free radial basis function network (RBFN…”
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    Journal Article
  20. 20

    Radial Basis Functions Approximation Method for Time-Fractional FitzHugh–Nagumo Equation by Alam, Mehboob, Haq, Sirajul, Ali, Ihteram, Ebadi, M. J., Salahshour, Soheil

    ISSN: 2504-3110, 2504-3110
    Published: Basel MDPI AG 01.12.2023
    Published in Fractal and fractional (01.12.2023)
    “…In this paper, a numerical approach employing radial basis functions has been applied to solve time-fractional FitzHugh–Nagumo equation…”
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    Journal Article