Results 1 to 10 of about 233,090 (290)
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 +3 more sources
Reproducing kernel functions for difference equations
Discrete and Continuous Dynamical Systems - Series S, 2015 In this work, some new reproducing kernel functions for difference equations are found. Reproducing kernel functions have not been obtained for difference equations until now.
Ali AKGÜL, M İnç
exaly +8 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
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.
E. N. Yıldırım, Ali Akgül
semanticscholar +5 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
Ali Akgül
semanticscholar +5 more sources
New reproducing kernel functions in the reproducing kernel Sobolev spaces
AIMS Mathematics, 2020 In this paper we construct some new reproducing kernel functions in the reproducing kernel Sobolev space. These functions are new in the literature. We can solve many problems by these functions in the reproducing kernel Sobolev spaces.
Ali Akgül, E. Akgül, Sahin Korhan
semanticscholar +4 more sources
Reproducing kernel functions for the generalized Kuramoto-Sivashinsky equation
ITM Web of Conferences, 2018 Reproducing kernel functions are obtained for the solution of generalized Kuramoto–Sivashinsky (GKS) equation in this paper. These reproducing kernel functions are valuable in the reproducing kernel Hilbert space method.
Akgül Ali +3 more
doaj +2 more sources
, 2018 In this chapter, we obtain some reproducing kernel spaces. We obtain reproducing kernel functions in these spaces. These reproducing kernel functions are very important for solving ordinary and partial differential equations.
Ali Akgül, E. Akgül
semanticscholar +3 more sources
Inner Functions in Reproducing Kernel Spaces [PDF]
Trends in Mathematics, 2018 In Beurling’s approach to inner functions for the shift operator S on the Hardy space H2, a function f is inner when f ⊥ Snf for all \(n \geqslant 1\). Inspired by this approach, this paper develops a notion of an inner vector x for any operator T on a ...
R. Cheng, J. Mashreghi, W. Ross
semanticscholar +3 more sources
Reproducing Kernel Hilbert Spaces of Smooth Fractal Interpolation Functions
Fractal and Fractional, 2023 The theory of reproducing kernel Hilbert spaces (RKHSs) has been developed into a powerful tool in mathematics and has lots of applications in many fields, especially in kernel machine learning.
Dah-Chin Luor, Liang-Yu Hsieh
doaj +3 more sources