Results 181 to 190 of about 14,885,883 (209)

Reproducing kernel Hilbert space method for nonlinear boundary-value problems

Mathematical Methods in the Applied Sciences, 2018
Reproducing kernel Hilbert space method is given for nonlinear boundary‐value problems in this paper. Applying this technique, we establish a new algorithm to approximate the solution of such nonlinear boundary‐value problems. This technique does not need any background mesh and can easily be applied.
Esra Karataş Akgül
exaly   +3 more sources

Solving Fredholm integro–differential equations using reproducing kernel Hilbert space method

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Omar Abu Arqub, Nabil T. Shawagfeh, Mohammed Al-Smadi   +2 more
exaly   +4 more sources

A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order

Journal of Optimization Theory and Applications, 2012
The authors, using the notion of the fractional derivative of Caputo, construct an approximate method to solve the integro-differential equation of fractional order of the special form \[ D^{\alpha}u(x)= F(x, u(x), Tu(x)),\qquad m ...
Samia Bushnaq, Yong Zhou, Shaher Momani
exaly   +3 more sources

Multiscale Approximation and Reproducing Kernel Hilbert Space Methods

SIAM Journal on Numerical Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Griebel, Christian Rieger, Barbara Zwicknagl   +2 more
openaire   +1 more source

Reproducing Kernel Hilbert Space Method for Solving Bratu’s Problem

Bulletin of the Malaysian Mathematical Sciences Society, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Inc, Mustafa, Akgul, Ali, Geng, Fazhan
openaire   +1 more source

REGULARIZATION METHOD FOR THE GENERALIZED MOMENT PROBLEM IN A FUNCTIONAL REPRODUCING KERNEL HILBERT SPACE

Journal of Integral Equations and Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Qianru, Huang, Lei, Wang, Rui
openaire   +1 more source

Solutions of Integral Equations by Reproducing Kernel Hilbert Space Method

2021
The theory of reproducing kernels was considered for the first time at the beginning of the 20th century by Zaremba. Reproducing kernel theory has valuable implementations in numerical analysis, differential equations, probability and statistics.
openaire   +2 more sources

Reproducing kernel Hilbert space method for optimal interpolation of potential field data

IEEE Transactions on Image Processing, 1998
The RKHS-based optimal image interpolation method, presented by Chen and de Figueiredo (1993), is applied to scattered potential field measurements. The RKHS which admits only interpolants consistent with Laplace's equation is defined and its kernel, derived.
Jonathan S. Maltz, Robert De Mello Koch, Andrew John Willis   +2 more
openaire   +2 more sources

investigating nonlinear fractional systems: reproducing kernel Hilbert space method

Optical and Quantum Electronics, 2023
Deanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia [221412044]
Attia, Nourhane, Akgul, Ali, Alqahtani, Rubayyi T.   +2 more
openaire   +2 more sources

On Solutions of Biological Models Using Reproducing Kernel Hilbert Space Method

2023
Differential equations (DEs, for short) are becoming more and more indispensable for modeling real-life problems. Modeling and then analyzing these DEs help scientists to understand and make predictions about the system that they want to analyze. And this is possible only in one case when their solutions are available.
Attia, Nourhane, Akgül, Ali
openaire   +2 more sources