Results 41 to 50 of about 2,264 (306)

A New Numerical Algorithm for Solving a Class of Fractional Advection-Dispersion Equation with Variable Coefficients Using Jacobi Polynomials

Abstract and Applied Analysis, 2013
We propose Jacobi-Gauss-Lobatto collocation approximation for the numerical solution of a class of fractional-in-space advection-dispersion equation with variable coefficients based on Caputo derivative.
A. H. Bhrawy
doaj   +1 more source

Polynomial spectral collocation method for space fractional advection–diffusion equation [PDF]

Numerical Methods for Partial Differential Equations, 2013
This article discusses the spectral collocation method for numerically solving nonlocal problems: one‐dimensional space fractional advection–diffusion equation; and two‐dimensional linear/nonlinear space fractional advection–diffusion equation. The differentiation matrixes of the left and right Riemann–Liouville and Caputo fractional derivatives are ...
Tian, WenYi, Deng, Weihua, Wu, Yujiang
openaire   +3 more sources

Enhanced Photocatalytic Wastewater Purification and Bacterial Elimination via Copper Ion Irradiation‐Induced Modification of BiOCl

Advanced Science, EarlyView.
This study presents a copper ion irradiation method to achieve the modification function of BiOCl. By using high‐energy ion beams to introduce impurity ions inside the material, the intrinsic electric field of BiOCl is optimized, promoting the separation of photogenerated carriers and enhancing the photocatalytic activity.
Sihan Ma, Dewang Cui, Jianglong Kong, Wentao Li, Zheng Han, Yipeng Li, Shidong Zhang, Xinglin Yu, Deng Long, Xue Bai, Lin Wang, Guang Ran, Zhijun Zhao   +12 more
wiley   +1 more source

New Wavelets Collocation Method for Solving Second-Order Multipoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds

Abstract and Applied Analysis, 2013
This paper is concerned with introducing two wavelets collocation algorithms for solving linear and nonlinear multipoint boundary value problems. The principal idea for obtaining spectral numerical solutions for such equations is employing third- and ...
W. M. Abd-Elhameed, E. H. Doha, Y. H. Youssri   +2 more
doaj   +1 more source

MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink

Mathematics, 2021
This study investigates the effects of viscous dissipation and a heat source or sink on the magneto-hydrodynamic laminar boundary layer flow of a Jeffrey fluid past a vertical plate.
Hillary Muzara, Stanford Shateyi
doaj   +1 more source

CrossMatAgent: AI‐Assisted Design of Manufacturable Metamaterial Patterns via Multi‐Agent Generative Framework

Advanced Intelligent Discovery, EarlyView.
CrossMatAgent is a multi‐agent framework that combines large language models and diffusion‐based generative AI to automate metamaterial design. By coordinating task‐specific agents—such as describer, architect, and builder—it transforms user‐provided image prompts into high‐fidelity, printable lattice patterns.
Jie Tian, Martin Taylor Sobczak, Dhanush Patil, Jixin Hou, Lin Pang, Arunachalam Ramanathan, Libin Yang, Xianyan Chen, Yuval Golan, Xiaoming Zhai, Hongyue Sun, Kenan Song, Xianqiao Wang   +12 more
wiley   +1 more source

Thermal Analysis of Convective-Radiative Fin with Temperature-Dependent Thermal Conductivity Using Chebychev Spectral Collocation Method [PDF]

Journal of Applied and Computational Mechanics, 2018
In this paper, the Chebychev spectral collocation method is applied for the thermal analysis of convective-radiative straight fins with the temperature-dependent thermal conductivity.
George Oguntala, Raed Abd-Alhameed
doaj   +1 more source

On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties [PDF]

, 2021
Mariarosa Mazza, Marco Donatelli, Carla Manni, Hendrik Speleers   +3 more
openalex   +1 more source

VAE+DDPG: An Attention‐Enhanced Variational Autoencoder for Deep Reinforcement Learning‐Based Autonomous Navigation in Low‐Light Environments

Advanced Intelligent Systems, EarlyView.
Variational Autoencoder+Deep Deterministic Policy Gradient addresses low‐light failures of infrared depth sensing for indoor robot navigation. Stage 1 pretrains an attention‐enhanced Variational Autoencoder (Convolutional Block Attention Module+Feature Pyramid Network) to map dark depth frames to a well‐lit reconstruction, yielding a 128‐D latent code ...
Uiseok Lee, Chanhong Hwang, Hyunseok Kang, Yechan Park, Hangwoo Jin, Tuan Anh Nguyen, Eunmi Choi, Dugki Min   +7 more
wiley   +1 more source

Legendre Spectral Collocation Technique for Advection Dispersion Equations Included Riesz Fractional [PDF]

, 2021
Mohamed M. Al-Shomrani, M. A. Abdelkawy
openalex   +1 more source