Results 241 to 250 of about 1,456,699 (307)

A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation

, 2020
Meshfree direct collocation method (DCM) based on strong form suffers low accuracy and instability compared with Galerkin-based meshfree methods. Meshfree weighted least squares collocation method (WLSCM) can improve the accuracy and stability by ...
Lihua Wang, Zhihao Qian
semanticscholar   +1 more source

Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework

Mathematical methods in the applied sciences, 2020
In this article, a class of generalized telegraph and Cattaneo time‐fractional models along with Robin's initial‐boundary conditions is considered using the adaptive reproducing kernel framework.
M. Al‐Smadi, Omar Abu Arqub, Mohamed S. Gaith   +2 more
semanticscholar   +1 more source

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

Reproducing Kernel Quaternionic Pontryagin Spaces

Integral Equations and Operator Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel, Shapiro, Michael
openaire   +2 more sources

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

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

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

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   +1 more source