Results 1 to 10 of about 5,356 (265)

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, Ali Akgül, Abdon Atangana   +2 more
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Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

Journal of Taibah University for Science, 2019
In this work, the boundary layer flow of a Powell–Eyring non-Newtonian fluid over a stretching sheet has been investigated by a reproducing kernel method. Reproducing kernel functions are used to obtain the solutions.
Ali Akgül
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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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Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations [PDF]

Abstract and Applied Analysis, 2012
On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented.
Reza Mokhtari, Fereshteh Toutian Isfahani, Maryam Mohammadi   +2 more
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Kernel center adaptation in the reproducing kernel Hilbert space embedding method

International Journal of Adaptive Control and Signal Processing, 2022
SummaryThe performance of adaptive estimators that employ embedding in reproducing kernel Hilbert spaces (RKHS) depends on the choice of the location of basis kernel centers. Parameter convergence and error approximation rates depend on where and how the kernel centers are distributed in the state‐space.
Sai Tej Paruchuri, Jia Guo, Andrew Kurdila   +2 more
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Solving Two-Sided Fractional Super-Diffusive Partial Differential Equations with Variable Coefficients in a Class of New Reproducing Kernel Spaces

Fractal and Fractional, 2022
Fractional-order calculus has become a useful mathematical framework to describe the complex super-diffusive process; however, numerical solutions of the two-sided space-fractional super-diffusive model with variable coefficients are difficult to obtain,
Zhiyuan Li, Qintong Chen, Yulan Wang, Xiaoyu Li   +3 more
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A new application of the reproducing kernel method

Discrete and Continuous Dynamical Systems - S, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On solutions of fractional order time varying linear dynamical systems model

Arab Journal of Basic and Applied Sciences, 2021
In this paper, the linear and nonlinear fractional order time varying linear dynamical systems model has been studied. The homotopy perturbation method is used to find the approximation solution.
Mahmut Modanli, Ali Akgül
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Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations

Advances in Mathematical Physics, 2020
This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Zhiyuan Li, Meichun Wang, Yulan Wang, Jing Pang   +3 more
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Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral

Journal of Applied Mathematics, 2012
We provide a new definition for reproducing kernel space with weighted integral and present a method to construct and calculate the reproducing kernel for the space. The new reproducing kernel space is an enlarged reproducing kernel space, which contains
Er Gao, Songhe Song, Xinjian Zhang
doaj   +1 more source