A local Galerkin integral equation method for solving integro-differential equations arising in oscillating magnetic fields
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.
scientific article; zbMATH DE number 6909929
scientific article