A local Galerkin integral equation method for solving integro-differential equations arising in oscillating magnetic fields
type: Item
instance of: scholarly article
title: A local Galerkin integral equation method for solving integro-differential equations arising in oscillating magnetic fields
zbMATH Open document ID: 1397.78010
author: Pouria Assari
author: Mehdi Dehghan
published in: Mediterranean Journal of Mathematics
publication date: 2018-07-24T00:00:00Z
review text: This paper deals with a computational method in the framework of a class of integro-differential equations. This study is motivated by the analysis of the charged particle motion for certain configurations of oscillating magnetic fields. In the first part, these types of integro-differential equations are converted to two-dimensional Volterra integral equations of the second kind. Next, the solution of these Volterra integral equations are estimated by applying the Galerkin method based on the moving least squares approach constructed on scattered points. Numerical simulations are developed to illustrate the abstract results.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 78M25
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 78A35
zbMATH DE Number: 6909929
zbMATH Keywords: integro-differential equation
zbMATH Keywords: oscillating magnetic field
zbMATH Keywords: Volterra integral equation
zbMATH Keywords: discrete Galerkin method
zbMATH Keywords: moving least squares
zbMATH Keywords: meshless method
Wikidata QID: Q115390331
MaRDI profile type: Publication
full work available at URL: s00009-018-1129-5
OpenAlex ID: W2799802879
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DOI: 10.1007/S00009-018-1129-5
description: scientific article; zbMATH DE number 6909929