Results 31 to 40 of about 1,486,932 (305)

On solutions of fractional order time varying linear dynamical systems model

Arab Journal of Basic and Applied Sciences, 2021
In this paper, the linear and nonlinear fractional order time varying linear dynamical systems model has been studied. The homotopy perturbation method is used to find the approximation solution.
Mahmut Modanli, Ali Akgül
doaj   +1 more source

Reproducing Kernels for q-Jacobi Polynomials [PDF]

Proceedings of the American Mathematical Society, 1977
We derive a family of reproducing kernels for the q -Jacobi polynomials Φ
Al-Salam, Waleed A., Ismail, Mourad E. H.   +1 more
openaire   +2 more sources

THE REPRODUCING KERNEL ALGORITHM FOR NUMERICAL SOLUTION OF VAN DER POL DAMPING MODEL IN VIEW OF THE ATANGANA–BALEANU FRACTIONAL APPROACH

, 2020
The aim of this paper is to propose the Atangana–Baleanu fractional methodology for fathoming the Van der Pol damping model by using the reproducing kernel algorithm.
S. Momani, Banan Maayah, O. A. Arqub
semanticscholar   +1 more source

Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto–Sivashinsky equation

Journal of Taibah University for Science, 2019
Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto–Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto–Sivashinsky equation.
Ali Akgül, Ebenezer Bonyah
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

Total positivity and reproducing kernels [PDF]

Pacific Journal of Mathematics, 1974
In this paper we investigate the relationship between total positivity and reproducing kernels. We extend the notion of total positivity to domains in the complex plane. In doing so, we also give a geometrical interpretation to certain Wronskians of reproducing kernels. These geometrical quantities are connected to Gaussian curvatures of Kahler metrics
openaire   +2 more sources

A Quasi-Convex RKPM for 3D Steady-State Thermomechanical Coupling Problems

Mathematics
A meshless, quasi-convex reproducing kernel particle framework for three-dimensional steady-state thermomechanical coupling problems is presented in this paper.
Lin Zhang, D. M. Li, Cen-Ying Liao, Li-Rui Tian   +3 more
doaj   +1 more source

Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method

Abstract and Applied Analysis, 2013
A numerical technique based on reproducing kernel methods for the exact solution of linear Volterra integral equations system of the second kind is given.
Li-Hong Yang, Hong-Ying Li, Jing-Ran Wang   +2 more
doaj   +1 more source

Computerized Tomography and Reproducing Kernels

SIAM Review
The X-ray transform is one of the most fundamental integral operators in image processing and reconstruction. In this article, we revisit the formalism of the X-ray transform by considering it as an operator between Reproducing Kernel Hilbert Spaces (RKHS).
Ho Yun, Victor M. Panaretos
openaire   +2 more sources

New Reproducing Kernel Functions [PDF]

Mathematical Problems in Engineering, 2015
Some new reproducing kernel functions on time scales are presented. Reproducing kernel functions have not been found on time scales till now. These functions are very important on time scales and they will be very useful for researchers. We need these functions to solve dynamic equations on time scales with the reproducing kernel method.
openaire   +2 more sources