Results 11 to 20 of about 6,341 (264)
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 +3 more
doaj +1 more source
On Hardy kernels as reproducing kernels
Canadian Mathematical Bulletin, 2022 AbstractHardy kernels are a useful tool to define integral operators on Hilbertian spaces like $L^2(\mathbb R^+)$ or $H^2(\mathbb C^+)$ . These kernels entail an algebraic $L^1$ -structure which is used in this work to study the range spaces of those operators as reproducing kernel Hilbert spaces. We obtain their reproducing kernels, which in the $
openaire +4 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 +1 more source
New reproducing kernel functions in the reproducing kernel Sobolev spaces
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akgul, Ali +2 more
openaire +3 more sources
Mathematical Modelling and Analysis, 2018 Based on the reproducing kernel Hilbert space method, a new approach is proposed to approximate the solution of the Black-Scholes equation with Dirichlet boundary conditions and introduce the reproducing kernel properties in which the initial conditions ...
Mohammadreza Foroutan +2 more
doaj +1 more source
The kaehlerian structures and reproducing kernels [PDF]
Annales Polonici Mathematici, 1991 Summary: It is shown that one can define a Hilbert space structure over a Kählerian manifold with global potential in a natural way.
Krok, Anna, Mazur, Tomasz
openaire +2 more sources
Polyanalytic reproducing Kernels on the quantized annulus [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 Abstract While dealing with the constant-strength magnetic Laplacian on the annulus, we complete Peetre’s work. In particular, the eigenspaces associated with its discrete spectrum true turns out to be polyanalytic spaces with respect to the invariant Cauchy–Riemann operator, and we write down explicit formulas for their reproducing ...
Nizar Demni, Zouhair Mouayn
openaire +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 +1 more source
Abstract and Applied Analysis, 2013 A new analytical method for the computation of reproducing kernel is proposed and tested on some examples. The expression of reproducing kernel on infinite interval is obtained concisely in polynomial form for the first time. Furthermore, as a particular
Jing Niu, Yingzhen Lin, Minggen Cui
doaj +1 more source
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 +1 more source