Results 1 to 10 of about 3,282,070 (234)
Reproducing kernel functions for difference equations [PDF]
Discrete and Continuous Dynamical Systems - Series S, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Akgül, Mustafa Inc
exaly +8 more sources
Reproducing kernel for elastic Herglotz functions [PDF]
Revista Matematica Complutense, 2019 We study the elastic Herglotz wave functions, which are entire solutions of the spectral Navier equation appearing in the linearized elasticity theory with $L^2-$far-field patterns. We characterize in three-dimensions the set of these functions $\mathcal{W},$ as a close subspace of a Hilbert space $\mathcal{H}$ of vector valued functions such that they
Luque, T., Vilela, M. C.
exaly +5 more sources
Alexandria Engineering Journal, 2020 In this paper, on the basis of the reproducing kernel functions, a novel meshless algorithm is explored for fractional advection–diffusion-reaction equations (ADREs) with Caputo time variable order.
Xiuying Li, Boying Wu
doaj +4 more sources
New Reproducing Kernel Functions [PDF]
Mathematical Problems in Engineering, 2015 Some new reproducing kernel functions on time scales are presented. Reproducing kernel functions have not been found on time scales till now. These functions are very important on time scales and they will be very useful for researchers. We need these functions to solve dynamic equations on time scales with the reproducing kernel method.
Akgül, Ali
core +6 more sources
Reproducing kernel functions and homogenizing transforms
Thermal Science, 2021 A lot of problems of the physical world can be modeled by non-linear ODE with their initial and boundary conditions. Especially higher order differential equations play a vital role in this process. The method for solution and its effectiveness are as important as the modelling.
Yildirim, Elif Nuray +2 more
openaire +5 more sources
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
doaj +2 more sources
Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme
Mathematics, 2017 We apply the reproducing kernel method and group preserving scheme for investigating the Lane–Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given.
Mir Sajjad Hashemi +4 more
doaj +3 more sources
Journal of Taibah University for Science, 2019 Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto–Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto–Sivashinsky equation.
Ali Akgül, Ebenezer Bonyah
doaj +2 more sources
Approximating Reproducing Kernel Hilbert Space Functions by Bernstein Operators
Results in MathematicsAbstractMotivated by kernel methods in machine learning theory, we study the uniform approximation of functions from reproducing kernel Hilbert spaces by Bernstein operators. Rates of approximation are provided in terms of the function norm in the reproducing kernel Hilbert space.
Han Feng, Sonia Y. W. Hui
exaly +3 more sources
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
doaj +1 more source