Results 111 to 120 of about 8,540,747 (378)

On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties

Numerical Linear Algebra with Applications, Volume 30, Issue 1, January 2023., 2023
Abstract In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B‐spline collocation method. For an arbitrary polynomial degree p$$ p $$, we show that the resulting coefficient matrices possess a Toeplitz‐like structure. We investigate their spectral properties via their symbol and we prove that, like for
Mariarosa Mazza, Marco Donatelli, Carla Manni, Hendrik Speleers   +3 more
wiley   +1 more source

Solvability of the -Laplacian with nonlocal boundary conditions

Applied Mathematics and Computation, 2009
Rather mild sufficient conditions are provided for the existence of positive solutions of a boundary value problem of the form[@F(x^'(t))]^'+c(t)(Fx)(t)=0,[email protected]?(0,1),x(0)-L"0(x)=x(1)-L"1(x)=0,which unify several cases discussed in the literature. In order to formulate these conditions one needs to know only properties of the homeomorphism @
openaire   +3 more sources

Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions

Journal of Ocean Engineering and Science, 2018
In this paper, we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary conditions.
N.A. Al-Zaid, H.O. Bakodah
doaj  

Applying fixed point techniques to solve fractional differential inclusions under new boundary conditions

AIMS Mathematics
Many scholars have lately explored fractional-order boundary value issues with a variety of conditions, including classical, nonlocal, multipoint, periodic/anti-periodic, fractional-order, and integral boundary conditions.
Murugesan Manigandan , Kannan Manikandan, Hasanen A. Hammad , Manuel De la Sen   +3 more
doaj   +1 more source

Two‐dimensional conjugated metal‐organic frameworks as electrocatalysts for boosting glycerol upgrading coupled with hydrogen production

Angewandte Chemie International Edition, Accepted Article.
The valorisation of glycerol using renewable electricity is recognised as an effective and attractive approach for producing high‐value compounds from biomass by‐products. Two‐dimensional conjugated metal‐organic frameworks (2D c‐MOFs) have emerged as promising electrocatalysts due to their tunable structures, high electronic conductivity, and ...
Yutong Luo, Michael Beerbaum, Stefan Röher, Sara Amanzadeh Salout, Volodymyr Bon, Yang Lu, Leonid Shupletsov, Ankita De, Xinliang Feng, Inez M. Weidinger, Thomas Kühne, Arafat Hossain Khan, Irena Senkovska, Stefan Kaskel   +13 more
wiley   +1 more source

Difference Schemes with Nonlocal Boundary Conditions

Computational Methods in Applied Mathematics, 2001
AbstractThe paper deals with the stability, with respect to initial data, of difference schemes that approximate the heat-conduction equation with constant coefficients and nonlocal boundary conditions. Some difference schemes are considered for the one-dimensional heat-conduction equation, the energy norm is constructed, and the necessary and ...
V. A. Morozova, Alexei V. Goolin, N. I. Ionkin   +2 more
openaire   +2 more sources

APPROXIMATE CONTROLLABILITY OF IMPULSIVE STOCHASTIC FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

, 2018
: This paper studies the approximate controllability of an impulsive neutral stochastic integro-differential equation with nonlocal conditions and infinite delay involving the Caputo fractional derivative of order q ∈ (1, 2) in separable Hilbert space ...
A. Chadha, S. Bora, R. Sakthivel
semanticscholar   +1 more source

Numerical Solutions Of The Nonlocal Problems For The Diffusion Partial Differential Equations

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
    In this work, we use the explicit and the implicit finite-difference methods to solve the nonlocal problem that consists of the diffusion equations together with nonlocal conditions.
Reem. M. Kubba
doaj  

Variational Theory and Domain Decomposition for Nonlocal Problems [PDF]

arXiv, 2009
In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish the well-posedness of associated boundary value problems, proving a nonlocal Poincar\'{e} inequality.
arxiv  

Effects of topological boundary conditions on Bell nonlocality

Physical Review A
Bell nonlocality is the resource that enables device-independent quantum information processing tasks. It is revealed through the violation of so-called Bell inequalities, indicating that the observed correlations cannot be reproduced by any local hidden variable model.
Patrick Emonts, Mengyao Hu, Albert Aloy, Jordi Tura   +3 more
openaire   +3 more sources