Results 41 to 50 of about 2,700 (198)

Bounded and multiperiodic solutions of the system of partial integro-differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova   +3 more
doaj   +1 more source

Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order

open access: yesAdvances in Difference Equations, 2021
In this contribution, we investigate an initial-boundary value problem for a fractional diffusion equation with Caputo fractional derivative of space-dependent variable order where the coefficients are dependent on spatial and time variables. We consider
Karel Van Bockstal
doaj   +1 more source

Development of the reproducing kernel Hilbert space algorithm for numerical pointwise solution of the time-fractional nonlocal reaction-diffusion equation

open access: yesAlexandria Engineering Journal, 2022
It is notable that, the nonlocal reaction-diffusion equation carries math and computational physics to the core of extremely dynamic multidisciplinary studies that emerge from a huge assortment of uses.
Omar Abu Arqub   +5 more
doaj   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

Learning Probabilistic Kernel from Latent Dirichlet Allocation [PDF]

open access: yesKSII Transactions on Internet and Information Systems, 2016
Measuring the similarity of given samples is a key problem of recognition, clustering, retrieval and related applications. A number of works, e.g. kernel method and metric learning, have been contributed to this problem. The challenge of similarity learning is to find a similarity robust to intra-class variance and simultaneously selective to inter ...
openaire   +1 more source

Performance Assessment of the Immersed Boundary Method in the Framework of the Moment Representation Lattice Boltzmann Method

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
The immersed boundary method (IBM) was coupled with the moment representation lattice Boltzmann method (MR‐LBM), reducing bandwidth requirements compared to population‐based LBM formulations. A systematic assessment of IBM parameters was conducted to quantify their effect on computational performance.
Marco A. Ferrari   +2 more
wiley   +1 more source

Meshless Galerkin method based on RBFs and reproducing Kernel for quasi-linear parabolic equations with dirichlet boundary conditions

open access: yesMathematical Modelling and Analysis, 2021
The main aim of this paper is to present a hybrid scheme of both meshless Galerkin and reproducing kernel Hilbert space methods. The Galerkin meshless method is a powerful tool for solving a large class of multi-dimension problems.
Mehdi Mesrizadeh, Kamal Shanazari
doaj   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

open access: yesMathematische Nachrichten, EarlyView.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt   +2 more
wiley   +1 more source

Recovering a time- and space-dependent kernel in a hyperbolic integro-differential equation from a restricted Dirichlet-to-Neumann Operator

open access: yesElectronic Journal of Differential Equations, 2004
We prove that a space- and time-dependent kernel occurring in a hyperbolic integro-differential equation in three space dimensions can be uniquely reconstructed from the restriction of the Dirichlet-to-Neumann operator of the equation into a set of ...
Jaan Janno
doaj  

Fejér and Dirichlet Kernels: Their Associated Polynomials

open access: yesJournal of Scientific Research, 2009
We show that the Fejér kernel generates the fifth-kind Chebyshev polynomials.Keywords: Kernels in Fourier series; Chebyshev polynomials.© 2009 JSR Publications.ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.
J. López-Bonilla   +2 more
openaire   +2 more sources

Home - About - Disclaimer - Privacy