Results 11 to 20 of about 63,273 (275)

Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

open access: yesJournal 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

Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation

open access: yesAin Shams Engineering Journal, 2018
In this article, we introduce a novel numerical scheme, the iterative reproducing kernel method (IRKM), for providing numerical approximate solutions of a certain class of time-fractional boundary value problem within favorable aspects of the reproducing
Mohammed Al-Smadi
doaj   +3 more sources

Reproducing kernel functions-based meshless method for variable order fractional advection-diffusion-reaction equations

open access: yesAlexandria 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

Generalized Jacobi reproducing kernel method in Hilbert spaces for solving the Black-Scholes option pricing problem arising in financial modelling

open access: yesMathematical 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

Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme

open access: yesMathematics, 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

A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems

open access: yesAbstract 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

open access: yesITM 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

Representations of $*$-semigroups associated to invariant kernels with values adjointable operators. I [PDF]

open access: yes, 2015
We consider positive semidefinite kernels valued in the $*$-algebra of adjointable operators on a VE-space (Vector Euclidean space) and that are invariant under actions of $*$-semigroups.
Ay, Serdar, Gheondea, Aurelian
core   +3 more sources

Extension of Wirtinger's Calculus to Reproducing Kernel Hilbert Spaces and the Complex Kernel LMS [PDF]

open access: yes, 2010
Over the last decade, kernel methods for nonlinear processing have successfully been used in the machine learning community. The primary mathematical tool employed in these methods is the notion of the Reproducing Kernel Hilbert Space.
Bouboulis, Pantelis   +1 more
core   +1 more source

Generalized Mercer Kernels and Reproducing Kernel Banach Spaces [PDF]

open access: yesMemoirs of the American Mathematical Society, 2019
128 pages and 4 ...
Xu, Yuesheng, Ye, Qi
openaire   +2 more sources

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