Results 21 to 30 of about 16,869 (201)

Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space

open access: yesJournal of Mathematics, 2022
In this article, the reproducing kernel method is presented for the fractional differential equations with periodic conditions in the Hilbert space. This method gives an approximate solution to the problem.
Hoda Saky   +2 more
doaj   +1 more source

Solving Duffing-Van der Pol Oscillator Equations of Fractional ‎Order by an Accurate Technique [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2021
In this paper, an accurate technique is used to find an approximate solution to the fractional-order Duffing-Van der Pol (DVP, for short) oscillators equation which is reproducing kernel Hilbert space (RKHS, for short ) method. The numerical results show
Nourhane Attia   +3 more
doaj   +1 more source

Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations

open access: yesAdvances in Difference Equations, 2018
In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space.
Ghaleb N. Gumah   +3 more
doaj   +1 more source

Kernel method for nonlinear Granger causality [PDF]

open access: yes, 2008
Important information on the structure of complex systems, consisting of more than one component, can be obtained by measuring to which extent the individual components exchange information among each other.
A. Papoulis   +7 more
core   +3 more sources

Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method

open access: yesFractal and Fractional, 2020
In this research, obtaining of approximate solution for fractional-order Burgers’ equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and norms.
Onur Saldır   +2 more
doaj   +1 more source

Soft and hard classification by reproducing kernel Hilbert space methods [PDF]

open access: yesProceedings of the National Academy of Sciences, 2002
Reproducing kernel Hilbert space (RKHS) methods provide a unified context for solving a wide variety of statistical modelling and function estimation problems. We consider two such problems: We are given a training set { y i ,
openaire   +2 more sources

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

Performance Evaluation of MC-CDMA Systems with Single User Detection Technique using Kernel and Linear Adaptive Method

open access: yesJournal of Telecommunications and Information Technology, 2021
Among all the techniques combining multi-carrier modulation and spread spectrum, the multi-carrier code division multiple access (MC-CDMA) system is by far the most widely studied.
Rachid Fateh, Anouar Darif, Said Safi
doaj   +1 more source

The reproducing kernel Hilbert space method for solving Troesch’s problem

open access: yesJournal of the Association of Arab Universities for Basic and Applied Sciences, 2013
AbstractIn this paper, the reproducing kernel Hilbert space method (RKHSM) is applied for solving Troesch’s problem. We used numerical examples to illustrate the accuracy and implementation of the method. The analytical result of the equation has been obtained in terms of a convergent series with easily computable components.
İnç, Mustafa, Akgül, Ali
openaire   +2 more sources

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

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