Results 21 to 30 of about 1,007 (183)

An Efficient Local Formulation for Time–Dependent PDEs

open access: yesMathematics, 2019
In this paper, a local meshless method (LMM) based on radial basis functions (RBFs) is utilized for the numerical solution of various types of PDEs. This local approach has flexibility with respect to geometry along with high order of convergence rate ...
Imtiaz Ahmad   +4 more
doaj   +1 more source

Approximation of linear one dimensional partial differential equations including fractional derivative with non-singular kernel

open access: yesAdvances in Difference Equations, 2021
In this article we propose a hybrid method based on a local meshless method and the Laplace transform for approximating the solution of linear one dimensional partial differential equations in the sense of the Caputo–Fabrizio fractional derivative.
Raheel Kamal   +5 more
doaj   +1 more source

Accurate, meshless methods for magnetohydrodynamics [PDF]

open access: yesMonthly Notices of the Royal Astronomical Society, 2015
35 pages, 39 figures. MNRAS. Updated with published version. A public version of the GIZMO MHD code, user's guide, test problem setups, and movies are available at http://www.tapir.caltech.edu/~phopkins/Site/GIZMO ...
Hopkins, Philip F., Raives, Matthias J.
openaire   +3 more sources

Object Oriented Approach to Consistent Implementation of Meshless and Classical FEM [PDF]

open access: yesJournal of Systemics, Cybernetics and Informatics, 2006
Numerical experiments show that the full potential of the Finite Element Method (FEM) can be exploited by combination of classical with meshless FEM. A class structure for flexible consistent implementation of both methods is presented. Fully automatized
Albert Seidl, Thomas Schmidt
doaj  

Application of Meshless Methods for Thermal Analysis

open access: yesProceeding of Thermal Sciences 2004. Proceedings of the ASME - ZSIS International Thermal Science Seminar II, 2004
Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities. The meshless method is simple, accurate, and requires no polygonalisation.
Pepper, Darrell, Sarler, Bozidar
openaire   +4 more sources

A Localized Meshless Technique for Generating 3-D Wind Fields

open access: yesComputation, 2018
A localized meshless method is used to simulate 3-D atmospheric wind fields for wind energy assessment and emergency response. The meshless (or mesh-free) method with radial basis functions (RBFs) alleviates the need to create a mesh required by finite ...
Darrell W. Pepper, Maria Ramos Gonzalez
doaj   +1 more source

A meshless method using global radial basis functions for creating 3-D wind fields from sparse meteorological data

open access: yesComputer Assisted Methods in Engineering and Science, 2017
An efficient, global meshless method has been developed for creating 3-D wind fields utilizing sparse meteorological tower data. Meshless methods do not require the need for a mesh in order to connect node points.
Darrell W. Pepper   +2 more
doaj   +1 more source

Meshless simulation of dam break using MLPG-RBF and shallow water equations

open access: yesMATEC Web of Conferences, 2017
This article focuses on the application of the meshless local Petrov-Galerkin (MLPG) method to solve the shallow water equations (SWE). This localized approach is based on the meshless weak formulation with the use of radial-basis functions (RBF) as the ...
Mužík Juraj, Holičková Martina
doaj   +1 more source

Meshless Analysis of Nonlocal Boundary Value Problems in Anisotropic and Inhomogeneous Media

open access: yesMathematics, 2020
In this work, meshless methods based on a radial basis function (RBF) are applied for the solution of two-dimensional steady-state heat conduction problems with nonlocal multi-point boundary conditions (NMBC).
Zaheer-ud-Din   +5 more
doaj   +1 more source

Fractional Pantograph Delay Equations Solving by the Meshless Methods

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
This work describes two efficient and useful methods for solving fractional pantograph delay equations (FPDEs) with initial and boundary conditions.
Shefaa M. N. Jasim, Ghada H. Ibraheem
doaj   +1 more source

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