Results 51 to 60 of about 7,438 (209)

A Lucas Operational Matrix Method for Solving Nonlinear Fractional Two‐Dimensional Partial Volterra Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami, A. Ebadian, A. A. Khajehnasiri, Kareem T. Elgindy, Birendra Nath Mandal   +4 more
wiley   +1 more source

Meshfree modelling of magnetotelluric and controlled-source electromagnetic data for conductive earth models with complex geometries

Frontiers in Earth Science
Geophysical electromagnetic survey methods are particularly effective in locating conductive mineral deposits or mineralization zones in a mineral resource exploration.
Jianbo Long
doaj   +1 more source

Simulation of Polymer Flow Using Smoothed Particle Hydrodynamics Method [PDF]

, 2013
Reactive rotational molding (RRM) is a process to manufacture hollow plastic articles. Comparing to rotational molding of thermoplastics, it decreases the process cycle time due to the reactivity of the system.
Ata, Barhoumi, Cleary, Cleary, Cleary, Crawford, Crespo, Dimier, Enns, Fan, Farzaneh, Gillham, Gingold, Halley, Harkin-Jones, Hockney, Hérault, Liu, Lucy, Martin, Monaghan, Monaghan, Monaghan, Monaghan, Monaghan, Morris, Mounif, Mounif, Mounif, Randles, Roller, Simpson, Tcharkhtchi, Throne, Viale, Violeau   +35 more
core   +6 more sources

Data‐Driven Detection of Internal Erosion Initiation in Gap‐Graded Soils: Combining Particle‐Scale CFD‐DEM Simulation With 3D Convolutional Autoencoder

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 17, Page 4225-4247, 10 December 2025.
ABSTRACT Internal erosion in gap‐graded soils poses significant risks to water‐retaining structures such as earth dams. However, its underlying mechanisms at the particle scale remain poorly understood. This study couples the discrete element method (DEM) with computational fluid dynamics (CFD) to simulate internal erosion in gap‐graded soil assemblies
Jie Qi, Negin Yousefpour, Guillermo A. Narsilio, Mehdi Pouragha   +3 more
wiley   +1 more source

A novel boundary meshfree method with two kinds of interpolations for spatially varying coefficient orthotropic thermal transfer

Case Studies in Thermal Engineering
For thermal exchangers, thermal pads, and thermal sinks for electronics and engines, it is necessary to consider their thermal transfer properties in different directions to ensure the structural stability and reliability in the hightemperature ...
Jing Ling, Dongsheng Yang, Chengpeng Liu, Wei Gong   +3 more
doaj   +1 more source

A Novel Meshfree Approach with a Radial Polynomial for Solving Nonhomogeneous Partial Differential Equations

Mathematics, 2020
In this article, a novel radial−based meshfree approach for solving nonhomogeneous partial differential equations is proposed. Stemming from the radial basis function collocation method, the novel meshfree approach is formulated by incorporating ...
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
doaj   +1 more source

A Comparative Study of Physics‐Informed and Data‐Driven Neural Networks for Compound Flood Simulation at River‐Ocean Interfaces: A Case Study of Hurricane Irene

Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 4, December 2025.
Abstract Simulating compound flooding (CF) at the river‐ocean interface within large‐scale Earth System Models (ESMs) presents significant challenges due to complex interactions between river discharge, storm surge, and tides. This study assesses the comparative advantages of physics‐informed and data‐driven machine learning (ML) approaches for ...
Dongyu Feng, Zeli Tan, Zihan Lin, Donghui Xu, Cheng‐Wei Yu, QiZhi He   +5 more
wiley   +1 more source

An Adaptive SPH Method (ADP‐SPH) for Simulating Solute Transport in Heterogeneous Aquifers

Water Resources Research, Volume 61, Issue 12, December 2025.
Abstract Smoothed Particle Hydrodynamics (SPH) is a meshfree, Lagrangian‐based approach used to solve the advection‐dispersion equation (ADE) of groundwater solute transport. It is well known that the accuracy of SPH deteriorates significantly when particles become irregularly distributed, often occurring in heterogeneous aquifers.
Tian Jiao, Ming Ye, Jinxi Song, Jing Yang, Maosheng Yin   +4 more
wiley   +1 more source

High frequency modes meshfree analysis of Reissner–Mindlin plates

Journal of Science: Advanced Materials and Devices, 2016
Finite element method (FEM) is well used for modeling plate structures. Meshfree methods, on the other hand, applied to the analysis of plate structures lag a little behind, but their great advantages and potential benefits of no meshing prompt continued
Tinh Quoc Bui, Duc Hong Doan, Thom Van Do, Sohichi Hirose, Nguyen Dinh Duc   +4 more
doaj   +1 more source

Three-dimensional free vibration analysis of thick laminated combination shell using a meshfree approach

AIP Advances, 2021
In this paper, a novel meshfree approach is proposed for the three-dimensional free vibration analysis of laminated composite combination shells. The three-dimensional theory of elasticity is applied to the formulation for free vibration analysis of ...
Songhun Kwak, Kwanghun Kim
doaj   +1 more source