Results 31 to 40 of about 16,403 (208)

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

Journal 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.
Inc, 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

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, Ali Ebadian, Hadi Rahmani Fazli   +2 more
doaj   +1 more source

Adaptive Kernel Learning Kalman Filtering With Application to Model-Free Maneuvering Target Tracking

IEEE Access, 2022
Kernel method is a non-parametric linearization method for system modeling, which uses nonlinear projection from input data space to high-dimensional Hilbert feature space and employs kernel function for hiding the projection operator in a linear learner
Yuankai Li, Jiaxin Lou, Xiaosu Tan, Yanke Xu, Jinpeng Zhang, Zhongliang Jing   +5 more
doaj   +1 more source

New Numerical Method for Solving Tenth Order Boundary Value Problems

Mathematics, 2018
In this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems.
Ali Akgül, Esra Karatas Akgül, Dumitru Baleanu, Mustafa Inc   +3 more
doaj   +1 more source

Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method

Abstract and Applied Analysis, 2013
We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space.
Yulan Wang, Shuai Lu, Fugui Tan, Mingjing Du, Hao Yu   +4 more
doaj   +1 more source

Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method

Abstract and Applied Analysis, 2013
We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel ...
Mustafa Inc, Ali Akgül, Adem Kılıçman   +2 more
doaj   +1 more source

Reproducing kernel functions for linear tenth-order boundary value problems

ITM Web of Conferences, 2018
Higher order differential equations have always been an onerous problem to investigate for the mathematicians and engineers. Different numerical methods were applied to get numerical approximations of such problems.
Akgül Ali, Akgül Esra Karatas, Orcan Baris, Inc Mustafa   +3 more
doaj   +1 more source

Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative

Advances in Difference Equations, 2021
This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment.
Shatha Hasan, Nadir Djeddi, Mohammed Al-Smadi, Shrideh Al-Omari, Shaher Momani, Andreea Fulga   +5 more
doaj   +1 more source

Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method

AIMS Mathematics, 2021
In this paper, the reproducing kernel Hilbert space method had been extended to model a numerical solution with two-point temporal boundary conditions for the fractional derivative in the Caputo sense, convergent analysis and error bounds are discussed ...
Yassamine Chellouf, Banan Maayah, Shaher Momani , Ahmad Alawneh, Salam Alnabulsi   +4 more
doaj   +1 more source

No fuss metric learning, a Hilbert space scenario [PDF]

, 2017
In this paper, we devise a kernel version of the recently introduced keep it simple and straightforward metric learning method, hence adding a novel dimension to its applicability in scenarios where input data is non-linearly distributed. To this end, we
Faraki, Masoud, Harandi, Mehrtash, Porikli, Fatih   +2 more
core   +1 more source