Search Results - Numerical radial basis function approximation
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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
ISSN: 2504-3110, 2504-3110Published: Basel MDPI AG 01.11.2024Published 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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On convergence of integrated radial basis function approximations on specific stencils with numerical applications
ISSN: 1598-5865, 1865-2085Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2025Published 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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Multiquadric radial basis function approximation method and asymptotic numerical method for nonlinear and linear static analysis of single-walled carbon nanotubes
ISSN: 0955-7997, 1873-197XPublished: Elsevier Ltd 01.06.2020Published in Engineering analysis with boundary elements (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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The Radial Basis Functions Method for Improved Numerical Approximations of Geological Processes in Heterogeneous Systems
ISSN: 1874-8961, 1874-8953Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2020Published 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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Numerical analysis of small-strain elasto-plastic deformation using local Radial Basis Function approximation with Picard iteration
ISSN: 0307-904XPublished: Elsevier Inc 01.01.2025Published 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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Numerical approximations for the Riesz space fractional advection-dispersion equations via radial basis functions
ISSN: 0168-9274, 1873-5460Published: Elsevier B.V 01.10.2019Published 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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Numerical differentiation by radial basis functions approximation
ISSN: 1019-7168, 1572-9044Published: 01.10.2007Published 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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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
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 15.01.2017Published 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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Numerical Approximation of Acoustic Equation using Radial Basis Function-discontinuous Galerkin Method
ISSN: 1877-7058, 1877-7058Published: 2017Published in Procedia engineering (2017)Get full text
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A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations
ISSN: 0898-1221, 1873-7668Published: Oxford Elsevier Ltd 01.11.2016Published in Computers & mathematics with applications (1987) (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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Numerical Solution of Fractional Black-Scholes Equation by Using Radial Basis Function (RBF) Approximation Method
ISSN: 2588-2546, 2588-2554Published: Kharazmi University 01.12.2020Published 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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A unified theory of radial basis functions Native Hilbert spaces for radial basis functions II: Numerical Analysis in the 20th Century. Vol. I: Approximation Theory
ISSN: 0377-0427Published: Amsterdam Elsevier 2000Published in Journal of computational and applied mathematics (2000)Get full text
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A modified lattice Boltzmann approach based on radial basis function approximation for the non‐uniform rectangular mesh
ISSN: 0271-2091, 1097-0363Published: Hoboken, USA John Wiley & Sons, Inc 01.11.2024Published in International journal for numerical methods in fluids (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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Numerical linear approximation involving radial basis functions
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 -
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Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model
ISSN: 0378-4754, 1872-7166Published: Elsevier B.V 01.08.2022Published 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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Numerical solution of ideal MHD equilibrium via radial basis functions collocation and moving least squares approximation methods
ISSN: 0955-7997, 1873-197XPublished: Elsevier Ltd 01.06.2016Published in Engineering analysis with boundary elements (01.06.2016)“…In this study, two different meshfree methods consisting of the Radial Basis Functions (RBFs…”
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New Numerical Approximations of Geological Processes in Heterogeneous Systems Using Radial Basis Functions
ISBN: 9798460432721Published: 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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A Radial Basis Function Partition of Unity Collocation Method for Convection–Diffusion Equations Arising in Financial Applications
ISSN: 0885-7474, 1573-7691, 1573-7691Published: New York Springer US 01.08.2015Published 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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Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations
ISSN: 0955-7997, 1873-197XPublished: Oxford Elsevier Ltd 01.02.2002Published in Engineering analysis with boundary elements (01.02.2002)“…This paper presents the combination of new mesh-free radial basis function network (RBFN…”
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Radial Basis Functions Approximation Method for Time-Fractional FitzHugh–Nagumo Equation
ISSN: 2504-3110, 2504-3110Published: Basel MDPI AG 01.12.2023Published 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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