Results 71 to 80 of about 18,385 (285)

On $hp$-Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme

, 2013
The first purpose of this paper is to provide a rigorous proof for the nonconvergence of $h$-refinement in $hp$-approximation by the PSWFs, a surprising convergence property that was first observed by Boyd et al [J. Sci. Comput., 2013].
Wang, Li-Lian, Zhang, Jing, Zhang, Zhimin   +2 more
core   +1 more source

Unraveling Mechanisms and Engineering Strategies for Superior Photocarrier Dynamics Toward Efficient Photocatalysis

EcoEnergy, EarlyView.
Despite its potential, photocatalysis is limited by inefficient charge carrier separation and transport. This article reviews the mechanisms, characterization methods, and strategies for improvement, concluding with future challenges in the field. ABSTRACT Photocatalysis offers a promising solution to environmental and renewable energy issues. However,
Leqi Cheng, Xin Wang, Yishen Zhang, Xinrong Zhang, Jung‐Ho Yun, Songcan Wang   +5 more
wiley   +1 more source

High-accuracy solution of pantograph differential equations subject to mixed boundary conditions via shifted Vieta–Lucas polynomials

Boundary Value Problems
We propose two precise spectral techniques based on shifted Vieta–Lucas polynomials (SVLPs) for the solution of pantograph-type differential equations (PTDEs) subject to general mixed-type boundary conditions (MTBCs). A Galerkin method (GM) is formulated
R. M. Hafez, H. M. Ahmed
doaj   +1 more source

Semi-analytical spectral methods in generalized curvilinear coordinates for analyzing sound fields in axisymmetric cavities

Mechanical Engineering Journal
This paper provides semi-analytical spectral methods for efficiently analyzing three-dimensional non-axisymmetric sound fields within axisymmetric cavities subject to arbitrary boundary conditions. By expanding the velocity potential using Fourier series
Yozo ARAKI, Toshiya SAMEJIMA
doaj   +1 more source

General relativistic null-cone evolutions with a high-order scheme

, 2012
We present a high-order scheme for solving the full non-linear Einstein equations on characteristic null hypersurfaces using the framework established by Bondi and Sachs.
B Gustafsson, B Szilágyi, C Reisswig, C Reisswig, C Reisswig, C Reisswig, CD Ott, Christian Reisswig, D Pollney, Denis Pollney, E Schnetter, F Löffler, H Bondi, JM Stewart, JN Goldberg, JR Driscoll, M Alcubierre, MC Babiuc, MC Babiuc, Nigel Bishop, NT Bishop, NT Bishop, NT Bishop, NT Bishop, NT Bishop, P Diener, R Bartnik, R Gómez, R Gómez, R Penrose, RK Sachs   +30 more
core   +1 more source

Innovations for Stakeholder Engagement in Water Governance: A Systematic Literature Review From a Sustainability Transition Perspective

Environmental Policy and Governance, EarlyView.
ABSTRACT Sustainable and equitable governance of water resources is among the most pressing global challenges, emphasising the need for innovations towards transitions in the water sector. Innovations for stakeholder engagement can contribute to such transitions through public participation and cross‐sectoral collaboration.
Anne Ellermann, Gül Özerol, Joanne Vinke‐de Kruijf, César Casiano Flores, Vuokko Laukka, Ulf Stein, Suvi Sojamo, Rob Collins   +7 more
wiley   +1 more source

Improved numerical schemes to solve general fractional diabetes models

Alexandria Engineering Journal
In this article, we propose a new class of nonlinear fractional differential equations of diabetes disease based on the concept of Caputo fractional derivative.
Muner M. Abou Hasan, Ahlam M. Alghanmi, Hannah Al Ali, Zindoga Mukandavire   +3 more
doaj   +1 more source

Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

Advances in Difference Equations, 2021
In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem, Doha Mahmoud, Dumitru Baleanu, Mamdouh El-kady   +3 more
doaj   +1 more source

A spectral collocation method for nonlocal diffusion equations

, 2018
12 pages, 2 ...
Tian, Hao, Zhang, Jing
openaire   +2 more sources

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

International 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