Results 11 to 20 of about 489,759 (365)
Reproducing Kernel Method with Global Derivative
Journal of Function Spaces, 2023 Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are ...
Nourhane Attia +2 more
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A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method [PDF]
Abstract and Applied Analysis, 2013 We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space.
Mustafa Inc, Ali Akgül, Adem Kiliçman
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A new application of the reproducing kernel method
Discrete & Continuous Dynamical Systems - S, 2021 We give a new implementation of the reproducing kernel method to investigate difference equations in this paper. We obtain the solutions in terms of convergent series. The method of obtaining the approximate solution in form of an algorithm is presented. We demonstrate some experiments to prove the accuracy of the technique.
Ali Akgül
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Interpolation-based reproducing kernel particle method [PDF]
Computer Methods in Applied Mechanics and EngineeringMeshfree methods, including the reproducing kernel particle method (RKPM), have been widely used within the computational mechanics community to model physical phenomena in materials undergoing large deformations or extreme topology changes. RKPM shape functions and their derivatives cannot be accurately integrated with the Gauss-quadrature methods ...
Jennifer E. Fromm +2 more
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Statistical properties of the method of regularization with periodic Gaussian reproducing kernel [PDF]
, 2004 The method of regularization with the Gaussian reproducing kernel is popular in the machine learning literature and successful in many practical applications. In this paper we consider the periodic version of the Gaussian kernel regularization.
Yi Lin, Lawrence D. Brown
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A point collocation method based on reproducing kernel approximations [PDF]
International Journal for Numerical Methods in Engineering, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. R. Aluru
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Numerical solution of potential problems using radial basis reproducing kernel particle method
Results in Physics, 2019 The paper presents the radial basis reproducing kernel particle method (RRKPM) for potential problems. The proposed RRKPM can eliminate the negative effect of different reproducing kernel functions (RKF) on computational stability and accuracy.
Hongfen Gao, Gaofeng Wei
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Reproducing Kernel Method for Fractional Riccati Differential Equations [PDF]
Abstract and Applied Analysis, 2014 This paper is devoted to a new numerical method for fractional Riccati differential equations. The method combines the reproducing kernel method and the quasilinearization technique.
X. Y. Li, B. Y. Wu, R. T. Wang
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A new application of the Legendre reproducing kernel method
AIMS Mathematics, 2022 In this work, we apply the reproducing kernel method to coupled system of second and fourth order boundary value problems. We construct a novel algorithm to acquire the numerical results of the nonlinear boundary-value problems.
Mohammad Reza Foroutan +4 more
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Solutions of nonlinear systems by reproducing kernel method
The Journal of Nonlinear Sciences and Applications, 2017 A novel approximate solution is obtained for viscoelastic fluid model by reproducing kernel method (RKM). The resulting equation for viscoelastic fluid with magneto-hydrodynamic flow is transformed to the nonlinear system by introducing the dimensionless variables.
Akgul, Ali +4 more
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