Results 251 to 260 of about 1,486,932 (305)

Reproducing kernel method for Fangzhu's oscillator for water collection from air

Mathematical methods in the applied sciences, 2020
In this article, reproducing kernel method is used to approximate nonlinear oscillator in order to reveal main factors affecting the usefulness of an ancient water collection device known as Fangzhu, that is, the surface temperature, the air velocity ...
Ali Akgül, Hijaz Ahmad
semanticscholar   +1 more source

Rainfall-runoff modeling through regression in the reproducing kernel Hilbert space algorithm

Journal of Hydrology, 2020
In this study, Regression in the Reproducing Kernel Hilbert Space (RRKHS) technique which is a non-linear regression approach formulated in the reproducing kernel Hilbert space (RRKHS) is applied for rainfall-runoff (R-R) modeling for the first time. The
M. Safari, Shervin Rahimzadeh Arashloo, A. Danandeh Mehr   +2 more
semanticscholar   +1 more source

The Reproducing Kernel Method. II

Journal of Mathematical Physics, 1972
The explicit solution of the Cauchy problem ∂N/∂t = HN by means of reproducing kernels is obtained under various forms: conformal mapping expansions, Sheffer polynomial expansion, polynomials orthogonal on a family of curves; the convergence is studied for both Szegö and Bergman kernels.
openaire   +3 more sources

Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations

Chaos, Solitons & Fractals, 2019
This paper focuses on providing a novel high-order algorithm for the numerical solutions of fractional order Volterra integro-differential equations using Atangana–Baleanu approach by employing the reproducing kernel approximation.
O. A. Arqub, Banan Maayah
semanticscholar   +1 more source

ANALYTIC TRIDIAGONAL REPRODUCING KERNELS

Journal of the London Mathematical Society, 2001
The paper characterizes the reproducing kernel Hilbert spaces with orthonormal bases of the form {(an,0+an,1z+…+an,JzJ)zn, n [ges ] 0}. The primary focus is on the tridiagonal case where J = 1, and on how it compares with the diagonal case where J = 0. The question of when multiplication by z is a bounded operator is investigated, and aspects of
Adams, Gregory T., McGuire, Paul J.
openaire   +1 more source

Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method

International journal of numerical methods for heat & fluid flow, 2019
Purpose The subject of the fractional calculus theory has gained considerable popularity and importance due to their attractive applications in widespread fields of physics and engineering.
O. A. Arqub
semanticscholar   +1 more source

Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense

Chaos, Solitons & Fractals, 2019
This article is concerned with design and comprehensive study of a numerical approach for solving Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense.
Omar Abu Arqub, Banan Maayah
semanticscholar   +1 more source

On Reproducing Kernel Banach Spaces: Generic Definitions and Unified Framework of Constructions

Acta Mathematica Sinica. English series, 2019
Recently, there has been emerging interest in constructing reproducing kernel Banach spaces (RKBS) for applied and theoretical purposes such as machine learning, sampling reconstruction, sparse approximation and functional analysis.
Rongrong Lin, Haizhang Zhang, Jun Zhang
semanticscholar   +1 more source

A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel

, 2020
A stable least residue method for solving a nonlinear fractional integro-differential equation with a weakly singular kernel in the reproducing kernel space is proposed.
Hong Du, Zhong Chen, Tiejun Yang
semanticscholar   +1 more source

Numerical solution of functionally graded materials based on radial basis reproducing kernel particle method

, 2020
In this paper, the radial basis function (RBF) is used to construct the approximating function of the reproducing kernel particle method (RKPM), which can eliminate the negative effect of different kernel functions on the calculating accuracy. The radial
Zheng Liu, G. Wei, Zhiming Wang
semanticscholar   +1 more source